Peter J. Cameron, Aparna Lakshmanan S and Midhuna V. Ajith,
Hypergraphs defined on algebraic structures,
Comm. Combinatorics Optimization, in press; doi:
10.22049/cco.2024.29607.2077
M. Aljohani, J. Bamberg and P. J. Cameron,
Synchronization and separation in the Johnson schemes,
Portugaliae Mathematica74 (2018), 213-232; doi:
10.4171/PM/2003
M. Anagnostopoulou-Merkouri and P. J. Cameron,
Association schemes with given stratum dimensions: on a paper of
Peter M. Neumann,
Algebraic Combinatorics636 (2023), 695-715
Marina Anagnostopoulou-Merkouri, Peter J. Cameron and Enoch Suleiman,
Pre-primitive permutation groups,
J. Algebra6 (2023), 1189-1210
J. André, J. Araújo and P. J. Cameron,
The classification of partition homogeneous groups with applications to
semigroup theory,
J. Algebra452 (2016), 288-310; doi:
10.1016/j.jalgebra.2015.12.025
J. Araújo, P. J. Cameron, J. D. Mitchell and M. Neunhöffer,
The classification of normalizing groups,
J. Algebra373 (2013), 481-490: doi:
10.1016/j.jalgebra.2012.08.033
J. Araújo, W. Bentz and P. J. Cameron,
Groups synchronizing a map of non-uniform kerel, Theoretical Computer
Science498 (2013), 1-9; doi: 10.1016/j.tcs.2013.06.016
J. Araújo and P. J. Cameron, Two generalizations of homogeneity in groups with applications to regular semigroups,
Trans. Amer. Math. Soc.368 (2016), 1159-1188;
doi: 10.1090/tran/6368; arXiv 1204.2195
J. Araújo and P. J. Cameron,
Primitive groups synchronize non-uniform maps of extreme ranks,
J. Combinatorial Theory (B) 106 (2014), 98-114; doi:
10.1016/j.jctb.2014.01.006
J. Araújo and P. J. Cameron,
Permutation groups and transformation semigroups: results and problems,
in Proceedings of Groups St Andrews 2013
(ed. C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal),
London Math. Soc. Lecture Notes 422, Cambridge University Press,
Cambridge, 2015
J. André, J. Araújo and P. J. Cameron,
The classification of partition homogeneous groups with applications to
semigroup theory,
J. Algebra452 (2016), 288-310; doi:
10.1016/j.jalgebra.2015.12.025
J. Araújo, W. Bentz, P. J. Cameron, G. F. Royle, and A. Schaefer,
Primitive groups, graph endomorphisms and synchronization,
Proc. London Math. Soc113 (2016), 829-867; doi:
10.1112/plms/pdw040
J. Araújo, J. P. Araújo, P. J. Cameron, T. Dobson,
A. Hulpke and P. Lopes,
Imprimitive permutations in primitive groups,
J. Algebra486 (2017), 396-416;
doi: 10.1016/j.jalgebra.2017.03.043
J. Araújo, W. Bentz and P. J. Cameron,
Orbits of primitive k-homogenous groups on (n−k)-partitions with applications to semigroups,
Trans. Amer. Math. Soc.371 (2019), 105-136; doi:
10.1090/tran/7274
J. Araújo, P. J. Cameron and B. Steinberg,
Between primitive and 2-transitive: synchronization and its friends,
Europ. Math. Soc. Surveys4 (2017), 101-184; doi:
10.4171/EMSS/4-2-1
J. Araújo and P. J. Cameron,
Special issue on computational algebra (introduction),
Portugaliae Mathematica74 (2018), 171-172;
doi: 10.4171/PM/2000
J. Araújo, P. J. Cameron, C. Casolo and F. Matucci,
Integrals of groups,
Israel J. Math.234 (2019), 149-178; doi:
10.1007/s11856-019-1926-y
J. Araújo, W. Bentz and P. J. Cameron,
Primitive permutation groups and strongly factorizable transformation
semigroups, J. Algebra565 (2021), 513-530; doi:
10.1016/j.jalgebra.2020.05.023
J. Araújo, W. Bentz, and P. J. Cameron,
The existential transversal property: a generalization of homogeneity and its
impact on semigroups,
Trans. Amer. Math. Soc.374 (2021), 1155-1195; doi:
10.1090/tran/8285
J. Araújo, J. P. Araújo, W. Bentz P. J. Cameron and P. Spiga,
A transversal property for permutation groups motivated by partial
transformations, J. Algebra573 (2021), 741-759; doi:
10.1016/j.jalgebra.2020.12.024
J.Araújo, W. Bentz, P. J. Cameron, M. Kinyon and J. Konieczny,
Matrix theory for independence algebras, Linear Algebra Appl.642 (2022), 221-250; doi:
10.1016/j.laa.2022.02.021
J. Araújo, P. J. Cameron, C. Casolo, F. Matucci and C. Quadrelli,
Integrals of groups, II,
Israel J. Math., in press; doi:
10.1007/s11856-024-2610-4
J. Araújo, J. P. Araújo, P. J. Cameron, E. W. H. Lee and J. Raminhos,
A survey on varieties generated by small semigroups and a companion website,
J. Algebra, in press;
doi: 10.1016/j.jalgebra.2023.06.030
J. Araújo, J. P. Araújo, P. J. Cameron, T. Dobson,
A. Hulpke and P. Lopes,
Imprimitive permutations in primitive groups,
J. Algebra486 (2017), 396-416; doi: 10.1016/j.jalgebra.2017.03.043
J. Araújo, J. P. Araújo, W. Bentz P. J. Cameron and P. Spiga,
A transversal property for permutation groups motivated by partial
transformations, J. Algebra573 (2021), 741-759; doi:
10.1016/j.jalgebra.2020.12.024
J. Araújo, J. P. Araújo, P. J. Cameron, E. W. H. Lee and J. Raminhos,
A survey on varieties generated by small semigroups and a companion website,
J. Algebra, in press;
doi: 10.1016/j.jalgebra.2023.06.030
G. Arun Kumar, P. J. Cameron, R. K. Nath and L. Selvaganesh,
Super graphs on groups, I,
Graphs and Combinatorics , article 100; doi:
10.1007/s00373-022-02496-w
G. Arunkumar, P. J. Cameron, T. Kavaskar, and T. Tamizh Chelvam,
Induced subgraphs of zero-divisor graphs, Discrete Math.346 (2023), paper 113580; doi:
10.1016/j.disc.2023.113580
L. Babai and P. J. Cameron,
Most primitive groups are full automorphism groups of edge-transitive
hypergraphs, J. Algebra10.1016/j.jalgebra.2014.09.002
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,
Discrete Math.50 (1984), 71-97.
P. P. Alejandro, R. A. Bailey and P. J. Cameron,
Association schemes and permutation groups,
Discrete Math.266 (2003), 47-67.
R. A. Bailey and P. J. Cameron,
Crested products of association schemes,
J. London Math. Soc.72 (2005), 1-24; doi:
10.1112/S0024610705006666
R. A. Bailey, P. J. Cameron, P. Dobcsányi, J. P. Morgan, and
L. H. Soicher,
Designs on the Web,
Discrete Math.306 (2006), 3014-3027; doi:
10.1016/j.disc.2004.10.027
R. A. Bailey and P. J. Cameron,
A family of balanced incomplete-block designs with
repeated blocks on which general linear groups act,
J. Combinatorial Designs15 (2007), 143-150; doi:
10.1002/jcd.20120
R. A. Bailey and P. J. Cameron,
What is a design? How should we classify them?
Designs, Codes, Crypt.44 (2007), 11-14; doi:
10.1007/s10623-007-9092-3
R. A. Bailey, P. J. Cameron and R. Connelly,
Sudoku, gerechte designs, resolutions, affine space, spreads, reguli, and
Hamming codes,
American Math. Monthly115 (2008), 383-404.
R. A. Bailey and P. J. Cameron, Combinatorics of Optimal Designs, in
Surveys in Combinatorics 2009 (ed. S. Huczynska, J. D. Mitchell and
C. M. Roney-Dougal), London Math. Soc. Lecture Notes 365,
Cambridge University Press 2009, pp. 19-73.
R. A. Bailey and P. J. Cameron, Using graphs to find the best block
designs, in Structural Graph Theory (ed. L. W. Beineke and
R. J. Wilson), Encyclopedia of Mathematics and its Applications 147,
Cambridge University Press, 2013, pp. 282-317.
R. A. Bailey, P. J. Cameron, K. Filipiak, J. Kunert and A. Markiewicz, On
optimality and construction of circular repeated-measurements designs,
Statistica Sinica27 (2017), 1-22; doi:
10.5705/ss.202015.0045
R. A. Bailey, Peter J. Cameron and Tomas Nilson, Sesqui-arrays, a
generalisation of triple arrays, Australas. J. Combin.71(3) (2018), 427-451.
R. A. Bailey, Peter J. Cameron, Alexander L. Gavrilyuk and Sergey V.
Goryainov,
Equitable partitions of Latin square graphs,
J. Combinatorial Designs27 (2019), 142-160; doi:
10.1002/jcd.21634
R. A. Bailey and Peter J. Cameron,
Multi-part balanced incomplete-block designs,
Statistical Papers60 (2019), 405-426; doi:
10.1007/s00362-018-01071-xi; Appendage, ibid., in press; doi:
10.1007/s00362-019-01137-4
R. A. Bailey and P. J. Cameron,
Substitutes for the non-existence square lattice designs for 36 varieties,
Biuletyn Oceny Odmian35 (2018), 11-13.
R. A. Bailey, P. J. Cameron, L. H. Soicher and E. R. Williams,
Substitutes for the non-existent square lattice designs for 36 varieties,
J. Agricultural, Biological and Environmental Statistics25 (2020), 487-499;
doi: 10.1007/s13253-020-00388-1
R. A. Bailey, Peter J. Cameron, Michael Giudici and Gordon F. Royle,
Groups generated by derangements,
J. Algebra572 (2021), 245-262; doi:
10.1016/j.jalgebra.2020.12.020
R. A. Bailey and Peter J. Cameron, The diagonal graph,
J. Ramanujan Math. Soc.36 (2021), 353-361.
R. A. Bailey, Peter J. Cameron, Michael Kinyon and Cheryl E. Praeger,
Diagonal groups and graphs over groups,
Designs, Codes, Cryptography, in press; doi:
10.1007/s10623-021-00907-2
R. A. Bailey, Peter J. Cameron, Cheryl E. Praeger and Csaba Schneider,
The geometry of diagonal groups,
Trans. Amer. Math. Soc.375 (2022), 5259-5311; doi:
10.1090/tran/8507
R. A. Bailey, Peter J. Cameron and Yaokun Wu (eds.),
Groups and Graphs, Designs and Dynamics
London Math. Soc. Lecture Notes, in press
R. A. Bailey and Peter J. Cameron,
Laplacian Eigenvalues and Optimality, in
Groups and Graphs, Designs and Dynamics
(ed. R. A. Bailey, Peter J. Cameron and Yaokun Wu),
London Math. Soc. Lecture Notes 491 (2024), 176-265; ISBN 9781009465953
R. A. Bailey, Peter J. Cameron, Dário Ferreira, Sandra Ferreira and Célia Nunes,
Designs for half-diallel experiments with commutative orthogonal block structure,
J. Statist. Planning Inference231 (2024), 106139; doi:
10.1016/j.jspi.2023.106139
R. A. Bailey, Peter J. Cameron and Yaokun Wu (eds.),
Groups and Graphs, Designs and Dynamics
London Math. Soc. Lecture Notes, in press
R. F. Bailey and P. J. Cameron,
On the single-orbit conjecture for uncoverings-by-bases,
J. Group Theory11 (2008), 845-850; doi:
10.1515/JGT.2008.053
R. F. Bailey and P. J. Cameron, Base size, metric dimension, and other
invariants of groups and graphs,
Bull. London Math. Soc.43 (2011), 209-242; doi:
10.1112/blms/bdq096
M. Aljohani, J. Bamberg and P. J. Cameron,
Synchronization and separation in the Johnson schemes,
Portugaliae Mathematica74 (2018), 213-232; doi:
10.4171/PM/2003
L. W. Beineke, P. J. Cameron and R. J. Wilson,
Introduction,
in Topics in Algebraic Graph Theory
(ed. L. W. Beineke and R. J. Wilson),
Cambridge Univ. Press, Cambridge, 2004 (ISBN 0521801974), pp.1-29.
E. A. Bender, P. J. Cameron, A. M. Odlyzko and L. B. Richmond,
Connectedness, classes and cycle index,
Combinatorics, Probability and Computing8 (1999), 31-43.
J. Araújo, W. Bentz and P. J. Cameron,
Groups synchronizing a map of non-uniform kerel, Theoretical Computer
Science498 (2013), 1-9; doi: 10.1016/j.tcs.2013.06.016
J. Araújo, W. Bentz, P. J. Cameron, G. F. Royle, and A. Schaefer,
Primitive groups, graph endomorphisms and synchronization,
Proc. London Math. Soc113 (2016), 829-867; doi:
10.1112/plms/pdw040
J. Araújo, W. Bentz and P. J. Cameron,
Orbits of primitive k-homogenous groups on (n−k)-partitions with applications to semigroups,
Trans. Amer. Math. Soc.371 (2019), 105-136; doi:
10.1090/tran/7274
J. Araújo, W. Bentz and P. J. Cameron,
Primitive permutation groups and strongly factorizable transformation
semigroups, J. Algebra565 (2021), 513-530; doi:
10.1016/j.jalgebra.2020.05.023
J. Araújo, W. Bentz, and P. J. Cameron,
The existential transversal property: a generalization of homogeneity and its
impact on semigroups,
Trans. Amer. Math. Soc.374 (2021), 1155-1195.
J. Araújo, J. P. Araújo, W. Bentz P. J. Cameron and
P. Spiga,
A transversal property for permutation groups motivated by partial
transformations, J. Algebra573 (2021), 741-759; doi:
10.1016/j.jalgebra.2020.12.024
J.Araújo, W. BEntz, P. J. Cameron, M. Kinyon and J. Konieczny,
Matrix theory for independence algebras, Linear Algebra Appl.642 (2022), 221-250; doi:
10.1016/j.laa.2022.02.021
Parthajit Bhowal, Peter J. Cameron, Rajat Kanti Nath and Benjamin Sambale,
Solvable conjugacy class graph of groups, Discrete Math.346 (2023), paper 113467
Parthajit Bhowal, Peter J. Cameron, Rajat Kanti Nath and Benjamin Sambale,
Genus and crosscap of solvable conjugacy class graphs of finite groups,
Arch. Math., 122 (2024), 475-489; doi:
10.1007/s00013-024-01974-2
Sucharita Biswas, Peter J. Cameron, Angsuman Das and Hiranya Kishore Dey,
On difference of enhanced power graph and power graph in a finite group,
J. Combinatorial Theory (A), 208 (2024), 105932; doi:
10.1016/j.jcta.2024.105932
Collin Bleak, Peter J. Cameron, Yonah Maissel, Andrés Navas, and
Feyisayo Olukoya,
The further chameleon groups of Richard Thompson and Graham Higman:
Automorphisms via dynamics for the Higman groups Gn,r,
Memoirs Amer. Math. Soc., in press
Collin Bleak, Peter J. Cameron and Feyisayo Olukoya,
Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided
case, Discrete Analysis2021:15 (2021), 35pp.
A. Bohn, P. J. Cameron and P. Müller,
Galois groups of multivariate Tutte polynomials,
J. Algebraic Combinatorics36 (2012), 223-230; doi:
10.1007/s10801-011-0332-2
A. Bonato, P. J. Cameron and D. Delić,
Tournaments and orders with the pigeonhole property,
Canadian Math. Bull.43 (2000), 397-405.
A. Bonato, P. J. Cameron, D. Delić and S. Thomassé,
Generalized pigeonhole properties of graphs and oriented graphs,
European J. Combinatorics23 (2002), 257-274.
J. N. Bray, Q. Cai, P. J. Cameron, P. Spiga and H. Zhang,
The Hall–Paige conjecture, and synchronization for affine and diagonal groups,
J. Algebra545 (2020), 27-42;
doi: 10.1016/j.jalgebra.2019.02.025
P. J. Cameron and T. Britz, Codes, chapter in Handbook of the
Tutte Polynomial (ed. J. Ellis-Monaghan and I. Moffatt), CRC Press,
Boca Raton, 2022, pp.328-344.
A. E. Brouwer, P. J. Cameron, W. H. Haemers and D. A. Preece,
Self-dual, not self-polar,
Discrete Math.306 (2006), 3051-3053; doi:
10.1016/j.disc.2004.11.027
J. M. Browning, P. J. Cameron and I. M. Wanless,
Bounds on the number of small Latin subsquares,
J. Combinatorial Theory (A) 124 (2014), 41-56;
doi: 10.1016/j.jcta.2014.01.002
F. Buekenhout and P. J. Cameron,
Projective and affine geometry over division rings,
pp. 27-62 in Handbook of Incidence Geometry
(ed. F. Buekenhout), Elsevier, Amsterdam, 1995.
F. C. Bussemaker, P. J. Cameron, J. J. Seidel and S. V. Tsaranov,
Tables of Signed Graphs,
Technical Report 91-WSK-01, Eindhoven University of Technology, 1991.
J. N. Bray, Q. Cai, P. J. Cameron, P. Spiga and H. Zhang,
The Hall–Paige conjecture, and synchronization for affine and diagonal groups,
J. Algebra545 (2020), 27-42;
doi: 10.1016/j.jalgebra.2019.02.025
A. R. Calderbank, P. J. Cameron, W. M. Kantor and J. J. Seidel,
Z4-Kerdock codes, orthogonal spreads, and extremal Euclidean
line systems, Proc. London Math. Soc. (3) 75 (1997), 436-480.
P. J. Cameron and Ph. Cara,
Independent generating sets and geometries for symmetric groups,
J. Algebra258 (2002), 641-650; doi:
10.1016/S0021-8693(02)00550-1
P. J. Cameron, A. Castillo-Ramirez, M. Gadouleau and J. D. Mitchell,
Lengths of words in transformation semigroups generated by digraphs,
J. Algebraic Combinatorics45 (2017), 149-170; doi:
10.1007/s10801-016-0703-9
Ajay Kumar, Lavanya Selvaganesh, Peter J. Cameron and T. Tamizh Chelvam,
Recent developments on the power graph of finite groups – a survey,
AKCE Internat. J. Graphs Combinatorics18 (2021), 65-94; doi:
10.1080/09728600.2021.1953359
Peter J. Cameron, R. Raveendra Prathap and T. Tamizh Chelvam,
Subgroup sum graphs of finite abelian groups,
Graphs and Combinatorics38 (2022), article 114; doi:
10.1007/s00373-022-02515-w
G. Arunkumar, P. J. Cameron, T. Kavaskar, and T. Tamizh Chelvam,
Induced subgraphs of zero-divisor graphs, Discrete Math.346 (2023), paper 113580; doi:
10.1016/j.disc.2023.113580
S. Anukumar Kathirvel, Peter J. Cameron and T. Tamizh Chelvam,
Generalized non-coprime graph of groups,
J. Algebraic Combinatorics59 (2004), 807-825; doi:
10.1007/s10801-024-01310-5
Ajay Kumar, Lavanya Selvaganesh Peter J. Cameron and T. Tamizh Chelvam,
Superpower graphs of finite groups,
J. Algebra Appl., in press; doi:
10.1142/S0219498825502147
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,0
Discrete Math.50 (1984), 71-97.
P. J. Cameron, A. M. Chetwynd and J. J. Watkins,
Decomposition of snarks,
J. Graph Theory11 (1987), 13-19.
P. J. Cameron and A. M. Cohen,
On the number of fixed point free elements in a permutation group,
in: A Collection of Contributions in Honour of Jack van Lint (ed.
P. J. Cameron and H. C. A. van Tilborg),
Topics in Discrete Math.7, North-Holland, Amsterdam, 1992,
pp. 135-138.
R. A. Bailey, P. J. Cameron and R. Connelly,
Sudoku, gerechte designs, resolutions, affine space, spreads, reguli, and
Hamming codes,
American Math. Monthly115 (2008), 383-404.
P. J. Cameron, D. Craven, H. R. Dorbidi, S. Harper and B. Sambale,
Covers of groups,
J. Algebra660 (2004), 345-372; doi:
10.1016/j.jalgebra.2024.06.038
Peter J. Cameron, Angsuman Das and Hiranya Kishore Dey,
On some properties of vector space based graphs,
Linear iand Multilinear Algebra, 71 (2023), 2858-2868; doi:
10.1080/03081087.2022.2121370
Sucharita Biswas, Peter J. Cameron, Angsuman Das and Hiranya Kishore Dey,
On difference of enhanced power graph and power graph in a finite group,
J. Combinatorial Theory (A), 208 (2024), 105932; doi:
10.1016/j.jcta.2024.105932
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,
Discrete Math.50 (1984), 71-97.
A. Bonato, P. J. Cameron and D. Delić,
Tournaments and orders with the pigeonhole property,
Canadian Math. Bull.43 (2000), 397-405.
A. Bonato, P. J. Cameron, D. Delić and S. Thomassé,
Generalized pigeonhole properties of graphs and oriented graphs,
European J. Combinatorics23 (2002), 257-274.
P. J. Cameron, P. Delsarte and J.-M. Goethals) Hemisystems, orthogonal
configurations, and dissipative conference matrices, Philips J.
Res.34 (1979), 147-162.
Peter J. Cameron, Angsuman Das and Hiranya Kishore Dey,
On some properties of vector space based graphs,
Linear and Multilinear Algebra, 71 (2023), 2858-2868; doi:
10.1080/03081087.2022.2121370
Sucharita Biswas, Peter J. Cameron, Angsuman Das and Hiranya Kishore Dey,
On difference of enhanced power graph and power graph in a finite group,
J. Combinatorial Theory (A), 208 (2024), 105932; doi:
10.1016/j.jcta.2024.105932
P. J. Cameron and M. Deza,
On permutation geometries,
J. London Math. Soc. (2) 20 (1979), 373-386.
L. Babai, P. J. Cameron, M. Deza and N. M. Singhi,
On sharply edge-transitive permutation groups,
J. Algebra73 (1981), 573-585.
P. J. Cameron, M. Deza and P. Frankl,
Sharp sets of permutations,
J. Algebra111 (1987), 220-247.
P. J. Cameron, M. Deza and N. M. Singhi,
Infinite geometric groups and sets, pp.
54-61 in Algebraic, Extremal and Metric Combinatorics (ed.
M.-M. Deza, P. Frankl and I. G. Rosenberg), LMS Lecture Notes131, Cambridge Univ. Press, Cambridge, 1988.
P. J. Cameron, M. Deza and P. Frankl,
Intersection theorems in permutation groups,
Combinatorica8 (1988), 249-260.
P. J. Cameron and M. Deza,
Designs and Matroids, in
Handbook of Combinatorial Designs, 2nd edition
(ed. C. J. Colbourn and J. Dinitz),
Discrete Mathematics and its Applications 42,
Chapman & Hall/CRC, 2006, Chapter VII.10 (pp.847-851);
ISBN: 1584885068.
R. A. Bailey, P. J. Cameron, P. Dobcsányi, J. P. Morgan, and
L. H. Soicher,
Designs on the Web,
Discrete Math.306 (2006), 3014-3027; doi:
10.1016/j.disc.2004.10.027
J. Araújo, J. P. Araújo, P. J. Cameron, T. Dobson,
A. Hulpke and P. Lopes,
Imprimitive permutations in primitive groups,
J. Algebra486 (2017), 396-416; doi: 10.1016/j.jalgebra.2017.03.043
P. J. Cameron, D. Craven, H. R. Dorbidi, S. Harper and B. Sambale,
Covers of groups,
J. Algebra660 (2004), 345-372; doi:
10.1016/j.jalgebra.2024.06.038
Peter J. Cameron, James East, Des FitzGerald,
James D. Mitchell, Luke Pebody and Thomas Quinn-Gregson,
Minimum degrees of finite rectangular bands, null semigroups,
and variants of full transformation semigroups,
Combinatorial Theory3(3) (2023), #16 (48pp.); doi:
10.5070/C63362799
Peter Cameron, David Ellis and William Raynaud,
Smallest cyclically covering subspaces of Fqn, and lower bounds in Isbell's conjecture,
Europ. J. Combinatorics81 (2019), 242-255; doi:
10.1016/j.ejc.2019.06.004
P. J. Cameron and P. Erdős,
On the number of sets of integers with various properties,
Number Theory (ed. R. A. Mollin), 61-79, de Gruyter, Berlin, 1990.
P. J. Cameron and P. Erdős,
Notes on sum-free and related sets,
Combinatorics, Probability and Computing8 (1999), 95-107.
P. J. Cameron, B. Fairbairn and M. Gadouleau,
Computing in permutation groups without memory,
Chicago J. Theor. Computer Sci. Vol 2014,
paper
7;
doi: 10.4086/cjtcs.2014.007
P. J. Cameron, B. Fairbairn and M. Gadouleau,
Computing in matrix groups without memory,
Chicago J. Theor. Computer Sci. Vol 2014,
paper 8;
doi: 10.4086/cjtcs.2014.008
Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans and Mark Mixer,
String C-groups as transitive subgroups of Sym(n),
J. Algebra447 (2016), 468-478; doi:
10.1016/j.jalgebra.2015.09.040
Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans and Mark Mixer,
Highest rank of a polytope for An,
Proc. London Math. Soc.115 (2017), 135-176; doi:
10.1112/plms.12039
Peter J. Cameron, Maria Elisa Fernandes and Dimitri Leemans,
The number of string C-groups of high rank,
Advances in Mathematics453 (2024), 109832;
doi: 10.1016/j.aim.2024.109832
R. A. Bailey, Peter J. Cameron, Dário Ferreira, Sandra Ferreira and Célia Nunes,
Designs for half-diallel experiments with commutative orthogonal block structure,
J. Statist. Planning Inference231 (2024), 106139; doi:
10.1016/j.jspi.2023.106139
R. A. Bailey, Peter J. Cameron, Dário Ferreira, Sandra Ferreira and Célia Nunes,
Designs for half-diallel experiments with commutative orthogonal block structure,
J. Statist. Planning Inference231 (2024), 106139; doi:
10.1016/j.jspi.2023.106139
R. A. Bailey, P. J. Cameron, K. Filipiak, J. Kunert and A. Markiewicz,
On optimality and construction of circular repeated-measurements designs,
Statistica Sinica27 (2017), 1-22; doi:
10.5705/ss.202015.0045
Peter J. Cameron, James East, Des FitzGerald,
James D. Mitchell, Luke Pebody and Thomas Quinn-Gregson,
Minimum degrees of finite rectangular bands, null semigroups,
and variants of full transformation semigroups,
Combinatorial Theory3(3) (2023), #16 (48pp.); doi:
10.5070/C63362799
P. J. Cameron, M. Deza and P. Frankl,
Sharp sets of permutations,
J. Algebra111 (1987), 220-247.
P. J. Cameron, M. Deza and P. Frankl,
Intersection theorems in permutation groups,
Combinatorica8 (1988), 249-260.
P. J. Cameron, P. Frankl and W. M. Kantor,
Intersecting families of finite sets and fixed-point-free 2-elements,
Europ. J. Combinatorics10 (1989), 149-160.
P. J. Cameron, S. D. Freedman and C. M. Roney-Dougal,
The non-commuting, non-generating graph of a nilpotent group,
Electronic J. Combinatoricspaper P1.16 (15pp); doi:
10.37236/9802
P. J. Cameron and M. Gadouleau,
Remoteness of permutation codes,
European J. Combinatorics33 (2012), 1273-1285; doi:
10.1016/j.ejc.2012.03.027
P. J. Cameron, M. Gadouleau and S. Riis,
Combinatorial representations,
J. Combinatorial Theory (A) 120 (2013), 671-682; doi:
10.1016/j.jcta.2012.12.002
P. J. Cameron, B. Fairbairn and M. Gadouleau,
Computing in permutation groups without memory,
Chicago J. Theor. Computer Sci. Vol 2014,
paper
7;
doi: 10.4086/cjtcs.2014.007
P. J. Cameron, B. Fairbairn and M. Gadouleau,
Computing in matrix groups without memory,
Chicago J. Theor. Computer Sci. Vol 2014,
paper 8;
doi: 10.4086/cjtcs.2014.008
P. J. Cameron, M. Gadouleau, J. D. Mitchell and Y. Peresse,
Chains of subsemigroups,
Israel J. Math.; doi:
10.1007/s11856-017-1523-x
P. J. Cameron, A. Castillo-Ramirez, M. Gadouleau and J. D. Mitchell,
Lengths of words in transformation semigroups generated by digraphs,
J. Algebraic Combinatorics45 (2017), 149-170; doi:
10.1007/s10801-016-0703-9
R. A. Bailey, Peter J. Cameron, Alexander L. Gavrilyuk and Sergey V.
Goryainov,
Equitable partitions of Latin square graphs,
J. Combinatorial Designs27 (2019), 142-160; doi:
10.1002/jcd.21634
P. J. Cameron, M. Giudici, G. A. Jones, W. M. Kantor, M. H. Klin,
D. Marušič and L. A. Nowitz,
Transitive permutation groups without semiregular subgroups,
J. London Math. Soc. (2) 66 (2002), 325-333.
88-1
R. A. Bailey, Peter J. Cameron, Michael Giudici and Gordon F. Royle,
Groups generated by derangements,
J. Algebra572 (2021), 245-262; doi:
10.1016/j.jalgebra.2020.12.020
P. J. Cameron, J.-M. Goethals, J. J. Seidel and E. E. Shult,
Line graphs, root systems and elliptic geometry,
J. Algebra43 (1976), 305-327.
P. J. Cameron, J.-M. Goethals and J. J. Seidel,
The Krein condition, spherical designs, Norton algebras and permutation groups,
Proc. Kon. Nederl. Akad. Wetensch. (A) 81 (1978), 196-206.
P. J. Cameron, J.-M. Goethals and J. J. Seidel,
Strongly regular graphs having strongly regular subconstituents,
J. Algebra55 (1978), 257-280.
P. J. Cameron, P. Delsarte and J.-M. Goethals, Hemisystems, orthogonal
configurations, and dissipative conference matrices, Philips J.
Res.34 (1979), 147-162.
R. A. Bailey, Peter J. Cameron, Alexander L. Gavrilyuk and Sergey V.
Goryainov,
Equitable partitions of Latin square graphs,
J. Combinatorial Designs27 (2019), 142-160; doi:
10.1002/jcd.21634
P. J. Cameron, H. Guerra and Š. Jurina,
The power graph of a torsion-free group,
J. Algebraic Combinatorics49 (2019), 83–98; doi:
10.1007/s10801-018-0819-1
A. E. Brouwer, P. J. Cameron, W. H. Haemers and D. A. Preece,
Self-dual, not self-polar,
Discrete Math.306 (2006), 3051-3053; doi:
10.1016/j.disc.2004.11.027
P. J. Cameron, J. I. Hall, J. H. van Lint, T. A. Springer and
H. C. A. van Tilborg,
Translates of subgroups of the multiplicative group of a finite field,
Proc. Kon. Nederl. Akad. Wetensch. (A) 78 (1975), 285-289.
P. J. Cameron and J. I. Hall,
Some groups generated by transvection subgroups,
J. Algebra, 140 (1991), 184-209.
P. J. Cameron, D. Craven, H. R. Dorbidi, S. Harper and B. Sambale,
Covers of groups,
J. Algebra660 (2004), 345-372; doi:
10.1016/j.jalgebra.2024.06.038
Peter J. Cameron, Allen Herman and Dimitri Leemans,
String C-groups with Schur index 2,
J. Pure Appl. Algebra226 (2022), 107025; doi:
10.1016/j.jpaa.2022.107025
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,
Discrete Math.50 (1984), 71-97.
P. J. Cameron, A. J. W. Hilton and E. R. Vaughan,
An analogue of Ryser's Theorem for partial Sudoku squares,
J. Combinatorial Math. Combinatorial Comput.80 (2012), 47-69.
P. J. Cameron, J. W. P. Hirschfeld and D. R. Hughes (editors),
Finite Geometries and Designs,
London Math. Soc. Lecture Notes49,
Cambridge Univ. Press, Cambridge, 1981.
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,
Discrete Math.50 (1984), 71-97.
P. J. Cameron, J. W. P. Hirschfeld and D. R. Hughes (editors),
Finite Geometries and Designs,
London Math. Soc. Lecture Notes49,
Cambridge Univ. Press, Cambridge, 1981.
P. J. Cameron, D. R. Hughes and A. Pasini,
Extended generalized quadrangles,
Geometriae Dedicata35 (1990), 193-228.
J. Araújo, J. P. Araújo, P. J. Cameron, T. Dobson,
A. Hulpke and P. Lopes,
Imprimitive permutations in primitive groups,
J. Algebra486 (2017), 396-416; doi: 10.1016/j.jalgebra.2017.03.043
P. J. Cameron, B. Jackson and J. Rudd,
Orbit-counting polynomials for graphs and codes,
Discrete Math.308 (2008), 920-930; doi:
10.1016/j.disc.2007.07.108
P. J. Cameron and S. H. Jafari,
On the connectivity and independence number of power graphs of groups,
Graphs and Combinatorics36 (2020), 895-904;
doi: 10.1007/s00373-020-02162-z
Peter J. Cameron, Ferdous Ee Jannat, Rajat Kanti Nath and Reza Sharafdini,
A survey on conjugacy class graphs of groups,
Expositiones Math,42 (2024), 125585; doi:
10.1016/j.exmath.2024.125585
P. J. Cameron and C. R. Johnson,
The number of equivalence classes of symmetric sign patterns,
Discrete Math.306 (2006), 3074-3077; doi:
10.1016/j.disc.2004.10.0
29
P. J. Cameron, M. Giudici, G. A. Jones, W. M. Kantor, M. H. Klin,
D. Marušič and L. A. Nowitz,
Transitive permutation groups without semiregular subgroups,
J. London Math. Soc. (2) 66 (2002), 325-333.
P. J. Cameron, H. Guerra and Š. Jurina,
The power graph of a torsion-free group,
J. Algebraic Combinatorics49 (2019), 83–98; doi:
10.1007/s10801-018-0819-1
P. J. Cameron and W. M. Kantor,
Rank 3 groups and biplanes,
J. Combinatorial Theory (A) 24 (1978), 1-23.
P. J. Cameron and W. M. Kantor,
2-transitive and antiflag transitive collineation groups of finite projective
spaces,
J. Algebra60 (1979), 384-422.
P. J. Cameron, P. Frankl and W. M. Kantor,
Intersecting families of finite sets and fixed-point-free 2-elements,
Europ. J. Combinatorics10 (1989), 149-160.
P. J. Cameron and W. M. Kantor,
Random permutations: Some group-theoretic aspects,
Combinatorics, Probability and Computing2 (1993), 257-262.
A. R. Calderbank, P. J. Cameron, W. M. Kantor and J. J. Seidel,
Z4-Kerdock codes, orthogonal spreads, and extremal Euclidean
line systems, Proc. London Math. Soc. (3) 75 (1997), 436-480.
P. J. Cameron, M. Giudici, G. A. Jones, W. M. Kantor, M. H. Klin,
D. Marušič and L. A. Nowitz,
Transitive permutation groups without semiregular subgroups,
J. London Math. Soc. (2) 66 (2002), 325-333.
S. Anukumar Kathirvel, Peter J. Cameron and T. Tamizh Chelvam,
Generalized non-coprime graph of groups,
J. Algebraic Combinatorics59 (2004), 807-825; doi:
10.1007/s10801-024-01310-5
G. Arunkumar, P. J. Cameron, T. Kavaskar, and T. Tamizh Chelvam,
Induced subgraphs of zero-divisor graphs, Discrete Math.346 (2023), paper 113580; doi:
10.1016/j.disc.2023.113580
P. J. Cameron and K. K. Kayibi,
Orbital chromatic and flow roots,
Combinatorics, Probability and Computing16 (2007), 401-407; doi:
10.1017/S0963548306008200
R. A. Bailey, Peter J. Cameron, Michael Kinyon and Cheryl E. Praeger,
Diagonal groups and graphs over groups,
Designs, Codes, Cryptography90 (2022), 2069-2080; doi:
10.1007/s10623-021-00907-2
J.Araújo, W. Bentz, P. J. Cameron, M. Kinyon and J. Konieczny,
Matrix theory for independence algebras, Linear Algebra Appl.642 (2022), 221-250; doi:
10.1016/j.laa.2022.02.021
P. J. Cameron, M. Giudici, G. A. Jones, W. M. Kantor, M. H. Klin,
D. Marušič and L. A. Nowitz,
Transitive permutation groups without semiregular subgroups,
J. London Math. Soc. (2) 66 (2002), 325-333.
J.Araújo, W. Bentz, P. J. Cameron, M. Kinyon and J. Konieczny,
Matrix theory for independence algebras, Linear Algebra Appl.642 (2022), 221-250; doi:
10.1016/j.laa.2022.02.021
P. J. Cameron and G. Korchmàros,
One-factorizations of complete graphs with a doubly transitive automorphism
group,
Bull. London Math. Soc.25 (1993), 1-6.
P. J. Cameron, L. G. Kovács, M. F. Newman and C. E. Praeger,
Fixed-point-free
permutations in transitive permutation groups of prime power order,
Quart. J. Math. Oxford (2) 36 (1985), 273-278.
Peter J. Cameron, Christian Krattenthaler and Thomas W. Müller,
Decomposable functors and the exponential principle, II,
Séminaire Lotharingien de Combinatoire61A (2010),
Article B61Am.
Peter J. Cameron, Christian Krattenthaler and Thomas W. Müller,
A note on higher-dimensional magic matrices,
Australasian J. Combinatorics50 (2011), 207-217.
Ajay Kumar, Lavanya Selvaganesh, Peter J. Cameron and T. Tamizh Chelvam,
Recent developments on the power graph of finite groups – a survey,
AKCE Internat. J. Graphs Combinatorics18 (2021), 65-94; doi:
10.1080/09728600.2021.1953359
Ajay Kumar, Lavanya Selvaganesh Peter J. Cameron and T. Tamizh Chelvam,
Superpower graphs of finite groups,
J. Algebra Appl., in press;
doi: 10.1142/S0219498825502147
R. A. Bailey, P. J. Cameron, K. Filipiak, J. Kunert and A. Markiewicz,
On optimality and construction of circular repeated-measurements designs,
Statistica Sinica27 (2017), 1-22; doi:
10.5705/ss.202015.0045
P. J. Cameron, J. Kusuma and P. Solé,
Z4-codes and their Gray map images as orthogonal arrays,
Designs, Codes, Crypt.84 (2017), 109-114; doi:
10.1007/s10623-016-0225-4
P. J. Cameron, C. Laflamme, M. Pouzet, S. Tarzi and R. E. Woodrow,
Overgroups of the automorphism group of the Rado graph, Asymptotic
Geometric Analysis (ed. Monika Ludwig, Vitali D. Milman, Vladimir Pestov,
and Nicole Tomczak-Jaegermann),
Fields Institute Communications68, Springer, 2013, pp. 45-54,
ISBN 978-1-4614-6405-1
Peter J. Cameron, Aparna Lakshmanan S and Midhuna V. Ajith,
Hypergraphs defined on algebraic structures,
Comm. Combinatorics Optimization, in press; doi:
10.22049/cco.2024.29607.2077
J. Araújo, J. P. Araújo, P. J. Cameron, E. W. H. Lee and J. Raminhos,
A survey on varieties generated by small semigroups and a companion website,
J. Algebra, in press;
doi: 10.1016/j.jalgebra.2023.06.030
Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans and Mark Mixer,
String C-groups as transitive subgroups of Sym(n),
J. Algebra447 (2016), 468-478; doi:
10.1016/j.jalgebra.2015.09.040
Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans and Mark Mixer,
Highest rank of a polytope for An,
Proc. London Math. Soc.115 (2017), 135-176; doi:
10.1112/plms.12039
Peter J. Cameron, Allen Herman and Dimitri Leemans,
String C-groups with Schur index 2,
J. Pure Appl. Algebra226 (2022), 107025; doi:
10.1016/j.jpaa.2022.107025
Peter J. Cameron, Maria Elisa Fernandes and Dimitri Leemans,
The number of string C-groups of high rank,
Advances in Mathematics453 (2024), 109832;
doi: 10.1016/j.aim.2024.109832
P. J. Cameron and J. H. van Lint,
Graph Theory, Coding Theory and Block Designs,
London Math. Soc. Lecture Notes19,
Cambridge Univ. Press, Cambridge, 1975.
P. J. Cameron, J. I. Hall, J. H. van Lint, T. A. Springer and
H. C. A. van Tilborg,
Translates of subgroups of the multiplicative group of a finite field,
Proc. Kon. Nederl. Akad. Wetensch. (A) 78 (1975), 285-289.
P. J. Cameron and J. H. van Lint,
Graphs, Codes and Designs,
London Math. Soc. Lecture Notes43,
Cambridge Univ. Press, Cambridge, 1980.
P. J. Cameron and J. H. van Lint,
On the partial geometry pg(6, 6, 2),
J. Combinatorial Theory (A) 32 (1982), 252-255.
P. J. Cameron and J. H. van Lint,
Graphs, Codes, Designs and their Links,
London Math. Soc. Student Texts 22,
Cambridge Univ. Press, 1991.
J. Araújo, J. P. Araújo, P. J. Cameron, T. Dobson,
A. Hulpke and P. Lopes,
Imprimitive permutations in primitive groups,
J. Algebra486 (2017), 396-416; doi: 10.1016/j.jalgebra.2017.03.043
P. J. Cameron, A. Lucchini and C. M. Roney-Dougal,
Generating sets for finite groups,
Trans. Amer. Math. Soc.370 (2018), 6751-6770;
doi: 10.1090/tran/7248
Xuanlong Ma and Peter J. Cameron,
Finite groups whose commuting graph is split,
Trudy Instituite Mat. i Mekh. UrO RAN30 (2024), 280-283; doi:
10.21538/0134-4889-2024-30-1-280-283.
P. J. Cameron, H. R. Maimani, G. R. Omidi and B. Tayfeh-Rezaie,
3-designs from PSL(2,q),
Discrete Math.306 (2006), 3063-3073; doi:
10.1016/j.disc.2005.06.04
1
Collin Bleak, Peter J. Cameron, Yonah Maissel, Andrés Navas, and
Feyisayo Olukoya,
The further chameleon groups of Richard Thompson and Graham Higman:
Automorphisms via dynamics for the Higman groups Gn,r,
Memoirs Amer. Math. Soc., in press
P. Manna, P. J. Cameron and R. Mehatari,
Forbidden subgraphs of power graphs,
Electronic J. Combinatorics28(3) (2021), paper P3.4; doi:
10.37236/9961
Peter J. Cameron, Pallabi Manna and Ranjit Mehatari,
On finite groups whose power graph is a cograph,
J. Algebra591 (2022), 59-74; doi:
10.1016/j.jalgebra.2021.09.034
R. A. Bailey, P. J. Cameron, K. Filipiak, J. Kunert and A. Markiewicz,
On optimality and construction of circular repeated-measurements designs,
Statistica Sinica27 (2017), 1-22; doi:
10.5705/ss.202015.0045
P. J. Cameron, M. Giudici, G. A. Jones, W. M. Kantor, M. H. Klin,
D. Marušič and L. A. Nowitz,
Transitive permutation groups without semiregular subgroups,
J. London Math. Soc. (2) 66 (2002), 325-333.
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,
Discrete Math.50 (1984), 71-97.
P. Manna, P. J. Cameron and R. Mehatari,
Forbidden subgraphs of power graphs,
Electronic J. Combinatorics28(3) (2021), paper P3.4; doi:
10.37236/9961
Peter J. Cameron, Pallabi Manna and Ranjit Mehatari,
On finite groups whose power graph is a cograph,
J. Algebra591 (2022), 59-74; doi:
10.1016/j.jalgebra.2021.09.034
Collin Bleak, Peter J. Cameron, Yonah Maissel, Andrés Navas, and
Feyisayo Olukoya,
The further chameleon groups of Richard Thompson and Graham Higman:
Automorphisms via dynamics for the Higman groups Gn,r,
Memoirs Amer. Math. Soc., in press
J. Araújo, P. J. Cameron, J. D. Mitchell and M. Neunhöffer,
The classification of normalizing groups,
J. Algebra373 (2013), 481-490: doi:
10.1016/j.jalgebra.2012.08.033
P. J. Cameron, M. Gadouleau, J. D. Mitchell and Y. Peresse,
Chains of subsemigroups,
Israel J. Math.; doi:
10.1007/s11856-017-1523-x
P. J. Cameron, A. Castillo-Ramirez, M. Gadouleau and J. D. Mitchell,
Lengths of words in transformation semigroups generated by digraphs,
J. Algebraic Combinatorics45 (2017), 149-170; doi:
10.1007/s10801-016-0703-9
Peter J. Cameron, James East, Des FitzGerald,
James D. Mitchell, Luke Pebody and Thomas Quinn-Gregson,
Minimum degrees of finite rectangular bands, null semigroups,
and variants of full transformation semigroups,
Combinatorial Theory3(3) (2023), #16 (48pp.); doi:
10.5070/C63362799
Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans and Mark Mixer,
String C-groups as transitive subgroups of Sym(n),
J. Algebra, 447 (2016), 468-478; doi:
10.1016/j.jalgebra.2015.09.040
Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans and Mark Mixer,
Highest rank of a polytope for An,
Proc. London Math. Soc.115 (2017), 135-176; doi:
10.1112/plms.12039
R. A. Bailey, P. J. Cameron, P. Dobcsányi, J. P. Morgan, and
L. H. Soicher,
Designs on the Web,
Discrete Math.306 (2006), 3014-3027; doi:
10.1016/j.disc.2004.10.027
A. Bohn, P. J. Cameron and P. Müller,
Galois groups of multivariate Tutte polynomials,
J. Algebraic Combinatorics36 (2012), 223-230; doi:
10.1007/s10801-011-0332-2
P. J. Cameron and T. W. Müller,
A cohomological property of p-groups,
Archiv der Mathematik82 (2004), 200-204; doi:
10.1007/s00013-003-4865-z
P. J. Cameron and T. W. Müller,
A descent principle in modular subgroup arithmetic,
J. Pure Appl. Algebra203 (2005), 189-203; doi:
10.1016/j.jpaa.2005.03.013
Peter J. Cameron, Christian Krattenthaler and Thomas W. Müller,
Decomposable functors and the exponential principle, II,
Séminaire Lotharingien de Combinatoire61A (2010),
Article B61Am.
Peter J. Cameron, Christian Krattenthaler and Thomas W. Müller,
A note on higher-dimensional magic matrices,
Australasian J. Combinatorics50 (2011), 207-217.
G. Arun Kumar, P. J. Cameron, R. K. Nath and L. Selvaganesh,
Super graphs on groups, I,
Graphs and Combinatorics , article 100; doi:
10.1007/s00373-022-02496-w
Parthajit Bhowal, Peter J. Cameron, Rajat Kanti Nath and Benjamin Sambale,
Solvable conjugacy class graph of groups, Discrete Math., 346 (2023), paper 113467
Parthajit Bhowal, Peter J. Cameron, Rajat Kanti Nath and Benjamin Sambale,
Genus and crosscap of solvable conjugacy class graphs of finite groups,
Arch Math., 122 (2024), 475-489; doi:
10.1007/s00013-024-01974-2
Peter J. Cameron, Ferdous Ee Jannat, Rajat Kanti Nath and Reza Sharafdini,
A survey on conjugacy class graphs of groups,
Expositiones Math,42 (2024), 125585; doi:
10.1016/j.exmath.2024.125585
Collin Bleak, Peter J. Cameron, Yonah Maissel, Andrés Navas, and
Feyisayo Olukoya,
The further chameleon groups of Richard Thompson and Graham Higman:
Automorphisms via dynamics for the Higman groups Gn,r,
Memoirs Amer. Math. Soc., in press
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,
Discrete Math.50 (1984), 71-97.
P. J. Cameron and J. Nešetřil,
Homomorphism-homogeneous relational structures,
Combinatorics, Probability and Computing15 (2006), 91-103; doi:
10.1017/S0963548305007091
J. Araújo, P. J. Cameron, J. D. Mitchell and M. Neunhöffer,
The classification of normalizing groups,
J. Algebra373 (2013), 481-490: doi:
10.1016/j.jalgebra.2012.08.033
P. J. Cameron, L. G. Kovács, M. F. Newman and C. E. Praeger,
Fixed-point-free
permutations in transitive permutation groups of prime power order,
Quart. J. Math. Oxford (2) 36 (1985), 273-278.
P. J. Cameron, M. Giudici, G. A. Jones, W. M. Kantor, M. H. Klin,
D. Marušič and L. A. Nowitz,
Transitive permutation groups without semiregular subgroups,
J. London Math. Soc. (2) 66 (2002), 325-333.
R. A. Bailey, Peter J. Cameron, Dário Ferreira, Sandra Ferreira and Célia Nunes,
Designs for half-diallel experiments with commutative orthogonal block structure,
J. Statist. Planning Inference231 (2024), 106139; doi:
10.1016/j.jspi.2023.106139
E. A. Bender, P. J. Cameron, A. M. Odlyzko and L. B. Richmond,
Connectedness, classes and cycle index,
Combinatorics, Probability and Computing8 (1999), 31-43.
Collin Bleak, Peter J. Cameron, Yonah Maissel, Andrés Navas, and
Feyisayo Olukoya,
The further chameleon groups of Richard Thompson and Graham Higman:
Automorphisms via dynamics for the Higman groups Gn,r,
Memoirs Amer. Math. Soc., in press
Collin Bleak, Peter J. Cameron and Feyisayo Olukoya,
Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided
case, Discrete Analysis2021:15 (2021), 35pp.
P. J. Cameron, H. R. Maimani, G. R. Omidi and B. Tayfeh-Rezaie,
3-designs from PSL(2,q),
Discrete Math.306 (2006), 3063-3073; doi:
10.1016/j.disc.2005.06.04
1
Peter J. Cameron, James East, Des FitzGerald,
James D. Mitchell, Luke Pebody and Thomas Quinn-Gregson,
Minimum degrees of finite rectangular bands, null semigroups,
and variants of full transformation semigroups,
Combinatorial Theory3(3) (2023), #16 (48pp.); doi:
10.5070/C63362799
P. J. Cameron, C. Laflamme, M. Pouzet, S. Tarzi and R. E. Woodrow,
Overgroups of the automorphism group of the Rado graph, Asymptotic
Geometric Analysis (ed. Monika Ludwig, Vitali D. Milman, Vladimir Pestov,
and Nicole Tomczak-Jaegermann),
Fields Institute Communications68, Springer, 2013, pp. 45-54,
ISBN 978-1-4614-6405-1
P. J. Cameron and C. E. Praeger,
Graphs and permutation groups with projective subconstituents,
J. London Math. Soc. (2) 25 (1982), 62-74.
P. J. Cameron, C. E. Praeger, J. Saxl and G. M. Seitz,
On the Sims conjecture and distance-transitive graphs,
Bull. London Math. Soc.15 (1983), 499-506.
P. J. Cameron and C. E. Praeger,
On 2-arc transitive graphs of girth 4,
J. Combinatorial Theory (B) 35 (1983), 1-11.
P. J. Cameron, L. G. Kovács, M. F. Newman and C. E. Praeger,
Fixed-point-free permutations in transitive permutation groups of prime
power order,
Quart. J. Math. Oxford (2) 36 (1985), 273-278.
P. J. Cameron and C. E. Praeger,
Partitioning into Steiner systems, pp. 61-71 in
Combinatorics '88 (ed. A. Barlotti et al.), Mediterranean
Press, Roma, 1992.
P. J. Cameron and C. E. Praeger,
Block-transitive t-designs,
I: point-imprimitive designs, Discrete Math.118
(1993), 33-43.
P. J. Cameron and C. E. Praeger,
Block-transitive t-designs,
II: large t, Finite Geometry and Combinatorics
(ed. A. Beutelspacher et al.), Cambridge Univ.
Press, 1993.
P. J. Cameron, C. E. Praeger and N. C. Wormald,
Highly arc-transitive digraphs and universal covering digraphs,
Combinatorica13 (1993), 1-21.
P. J. Cameron and C. E. Praeger,
Constructing flag-transitive, point-imprimitive designs,
J. Algebraic Combinatorics43 (2016), 755-769; doi:
10.1007/s10801-015-0591-4
R. A. Bailey, Peter J. Cameron, Michael Kinyon and Cheryl E. Praeger,
Diagonal groups and graphs over groups,
Designs, Codes, Cryptography, in press; doi:
10.1007/s10623-021-00907-2
R. A. Bailey, Peter J. Cameron, Cheryl E. Praeger and Csaba Schneider,
The geometry of diagonal groups,
Trans. Amer. Math. Soc.375 (2022), 5259-5311; doi:
10.1090/tran/8507
Peter J. Cameron, R. Raveendra Prathap and T. Tamizh Chelvam,
Subgroup sum graphs of finite abelian groups,
Graphs and Combinatorics38 (2022), article 114; doi:
10.1007/s00373-022-02515-w
P. J. Cameron and D. A. Preece,
Some new fully-balanced Graeco-Latin Youden "squares",
Utilitas Math.8 (1975), 193-204.
A. E. Brouwer, P. J. Cameron, W. H. Haemers and D. A. Preece,
Self-dual, not self-polar,
Discrete Math.306 (2006), 3051-3053; doi:
10.1016/j.disc.2004.11.027
P. J. Cameron, T. Prellberg and D. Stark,
Asymptotic enumeration of incidence matrices,
Journal of Physics: Conference Series42 (2006), 59-70; doi:
10.1088/1742-6596/42/1/00
7
P. J. Cameron, T. Prellberg and D. Stark, Asymptotic enumeration of
2-covers and line graphs, Discrete Math.310 (2010), 230-240; doi:
10.1016/j.disc.2008.09.008
Peter J. Cameron, James East, Des FitzGerald,
James D. Mitchell, Luke Pebody and Thomas Quinn-Gregson,
Minimum degrees of finite rectangular bands, null semigroups,
and variants of full transformation semigroups,
Combinatorial Theory3(3) (2023), #16 (48pp.); doi:
10.5070/C63362799
J. Araújo, J. P. Araújo, P. J. Cameron, E. W. H. Lee and J. Raminhos,
A survey on varieties generated by small semigroups and a companion website,
J. Algebra, in press;
doi: 10.1016/j.jalgebra.2023.06.030
Peter Cameron, David Ellis and William Raynaud,
Smallest cyclically covering subspaces of Fqn, and lower bounds in Isbell's conjecture,
Europ. J. Combinatorics81 (2019), 242-255; doi:
10.1016/j.ejc.2019.06.004
E. A. Bender, P. J. Cameron, A. M. Odlyzko and L. B. Richmond,
Connectedness, classes and cycle index,
Combinatorics, Probability and Computing8 (1999), 31-43.
P. J. Cameron, S. Riis and T. Wu,
On the guessing number of shift graphs,
J. Discrete Algorithms7 (2009), 220-226; doi:
10.1016/j.jda.2008.09.009
P. J. Cameron, M. Gadouleau and S. Riis,
Combinatorial representations,
J. Combinatorial Theory (A) 120 (2013), 671-682; doi:
10.1016/j.jcta.2012.12.002
P. J. Cameron, A. N. Dang and S. Riis,
Guessing games on triangle-free graphs,
Electronic J. Combinatorics23(1) (2016), paper #1.48.
P. J. Cameron, A. Lucchini and C. M. Roney-Dougal,
Generating sets for finite groups,
Trans. Amer. Math. Soc.370 (2018), 6751-6770;
doi: 10.1090/tran/7248
P. J. Cameron, S. D. Freedman and C. M. Roney-Dougal,
The non-commuting, non-generating graph of a nilpotent group,
Electronic J. Combinatoricspaper P1.16 (15pp); doi:
10.37236/9802
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,
Discrete Math.50 (1984), 71-97.
J. Araújo, W. Bentz, P. J. Cameron, G. F. Royle, and A. Schaefer,
Primitive groups, graph endomorphisms and synchronization,
Proc. London Math. Soc113 (2016), 829-867; doi:
10.1112/plms/pdw040
88-1
R. A. Bailey, Peter J. Cameron, Michael Giudici and Gordon F. Royle,
Groups generated by derangements,
J. Algebra572 (2021), 245-262; doi:
10.1016/j.jalgebra.2020.12.020
P. J. Cameron, B. Jackson and J. Rudd,
Orbit-counting polynomials for graphs and codes,
Discrete Math.308 (2008), 920-930; doi:
10.1016/j.disc.2007.07.108
Parthajit Bhowal, Peter J. Cameron, Rajat Kanti Nath and Benjamin Sambale,
Solvable conjugacy class graph of groups, Discrete Math., 346 (2023), paper 113467
Parthajit Bhowal, Peter J. Cameron, Rajat Kanti Nath and Benjamin Sambale,
Genus and crosscap of solvable conjugacy class graphs of finite groups,
Arch. Math., 122 (2024), 475-489; doi:
10.1007/s00013-024-01974-2
P. J. Cameron, D. Craven, H. R. Dorbidi, S. Harper and B. Sambale,
Covers of groups,
J. Algebra660 (2004), 345-372; doi:
10.1016/j.jalgebra.2024.06.038
P. J. Cameron, P. M. Neumann and J. Saxl,
An interchange property in finite permutation groups,
Bull. London Math. Soc.11 (1979), 161-169.
P. J. Cameron and J. Saxl,
Permuting unordered subsets,
Quart. J. Math. Oxford (2) 34 (1983), 167-170.
P. J. Cameron, P. M. Neumann and J. Saxl,
On groups with no regular orbits on the set of subsets,
Arch. Math.43 (1984), 295-296.
P. J. Cameron, C. E. Praeger, J. Saxl and G. M. Seitz,
On the Sims conjecture and distance-transitive graphs,
Bull. London Math. Soc.15 (1983), 499-506.
J. Araújo, W. Bentz, P. J. Cameron, G. F. Royle, and A. Schaefer,
Primitive groups, graph endomorphisms and synchronization,
Proc. London Math. Soc113 (2016), 829-867; doi:
10.1112/plms/pdw040
R. A. Bailey, Peter J. Cameron, Cheryl E. Praeger and Csaba Schneider,
The geometry of diagonal groups,
Trans. Amer. Math. Soc.375 (2022), 5259-5311; doi:
10.1090/tran/8507
P. J. Cameron and J. J. Seidel, Quadratic forms over GF(2),
Proc. Kon. Nederl. Akad. Wetensch. (A) 76 (1973), 1-8.
P. J. Cameron, J.-M. Goethals, J. J. Seidel and E. E. Shult,
Line graphs, root systems and elliptic geometry,
J. Algebra43 (1976), 305-327.
P. J. Cameron, J.-M. Goethals and J. J. Seidel,
The Krein condition, spherical designs, Norton algebras and permutation groups,
Proc. Kon. Nederl. Akad. Wetensch. (A) 81 (1978), 196-206.
P. J. Cameron, J.-M. Goethals and J. J. Seidel,
Strongly regular graphs having strongly regular subconstituents,
J. Algebra55 (1978), 257-280.
F. C. Bussemaker, P. J. Cameron, J. J. Seidel and S. V. Tsaranov,
Tables of Signed Graphs,
Technical Report 91-WSK-01, Eindhoven University of Technology, 1991.
P. J. Cameron, J. J. Seidel and S. V. Tsaranov,
Signed graphs, root lattices and Coxeter groups,
J. Algebra164 (1994), 173-209.
A. R. Calderbank, P. J. Cameron, W. M. Kantor and J. J. Seidel,
Z4-Kerdock codes, orthogonal spreads, and extremal Euclidean
line systems, Proc. London Math. Soc. (3) 75 (1997), 436-480.
P. J. Cameron, C. E. Praeger, J. Saxl and G. M. Seitz,
On the Sims conjecture and distance-transitive graphs,
Bull. London Math. Soc.15 (1983), 499-506.
Ajay Kumar, Lavanya Selvaganesh, Peter J. Cameron and T. Tamizh Chelvam,
Recent developments on the power graph of finite groups – a survey,
AKCE Internat. J. Graphs Combinatorics18 (2021), 65-94; doi:
10.1080/09728600.2021.1953359
G. Arun Kumar, P. J. Cameron, R. K. Nath and L. Selvaganesh,
Super graphs on groups, I,
Graphs and Combinatorics38 (2022), article 100; doi:
10.1007/s00373-022-02496-w
Ajay Kumar, Lavanya Selvaganesh Peter J. Cameron and T. Tamizh Chelvam,
Superpower graphs of finite groups,
J. Algebra Appl., in press; doi:
10.1142/S0219498825502147
Peter J. Cameron, Ferdous Ee Jannat, Rajat Kanti Nath and Reza Sharafdini,
A survey on conjugacy class graphs of groups,
Expositiones Math,42 (2024), 125585; doi:
10.1016/j.exmath.2024.125585
P. J. Cameron, J. Sheehan and P. Spiga,
Semiregular automorphisms of vertex-transitive cubic graphs,
Europ. J. Combinatorics27 (2006), 924-930; doi:
10.1016/j.ejc.2005.04.008
L. Babai, P. J. Cameron, M. Deza and N. M. Singhi,
On sharply edge-transitive permutation groups,
J. Algebra73 (1981), 573-585.
P. J. Cameron, M. Deza and N. M. Singhi,
Infinite geometric groups and sets, pp.
54-61 in Algebraic, Extremal and Metric Combinatorics (ed.
M.-M. Deza, P. Frankl and I. G. Rosenberg), LMS Lecture Notes131, Cambridge Univ. Press, Cambridge, 1988.
R. A. Bailey, P. J. Cameron, P. Dobcsányi, J. P. Morgan, and
L. H. Soicher,
Designs on the Web,
Discrete Math.306 (2006), 3014-3027; doi:
10.1016/j.disc.2004.10.027
P. J. Cameron and L. H. Soicher,
Block intersection polynomials,
Bull. London Math. Soc.39 (2007), 559-564; doi:
10.1112/blms/bdm034
R. A. Bailey, P. J. Cameron, L. H. Soicher and E. R. Williams,
Substitutes for the non-existent square lattice designs for 36 varieties,
J. Agricultural, Biological and Environmental Statistics25 (2020), 487-499;
doi: 10.1007/s13253-020-00388-1
P. J. Cameron, J. Kusuma and P. Solé,
Z4-codes and their Gray map images as orthogonal arrays,
Designs, Codes, Crypt.84 (2017), 109-114; doi:
10.1007/s10623-016-0225-4
P. J. Cameron, J. Sheehan and P. Spiga,
Semiregular automorphisms of vertex-transitive cubic graphs,
Europ. J. Combinatorics27 (2006), 924-930; doi:
10.1016/j.ejc.2005.04.008
P. J. Cameron and P. Spiga,
Min-wise independent families with respect to any linear order,
Communications in Algebra35 (2007), 3026-3033; doi:
10.1080/00927870701404812
J. N. Bray, Q. Cai, P. J. Cameron, P. Spiga and H. Zhang,
The Hall–Paige conjecture, and synchronization for affine and diagonal groups,
J. Algebra545 (2020), 27-42;
doi: 10.1016/j.jalgebra.2019.02.025
J. Araújo, J. P. Araújo, W. Bentz P. J. Cameron and
P. Spiga,
A transversal property for permutation groups motivated by partial
transformations, J. Algebra573 (2021), 741-759; doi:
10.1016/j.jalgebra.2020.12.024
P. J. Cameron, J. I. Hall, J. H. van Lint, T. A. Springer and
H. C. A. van Tilborg,
Translates of subgroups of the multiplicative group of a finite field,
Proc. Kon. Nederl. Akad. Wetensch. (A) 78 (1975), 285-289.
P. J. Cameron, T. Prellberg and D. Stark,
Asymptotic enumeration of incidence matrices,
Journal of Physics: Conference Series42 (2006), 59-70; doi:
10.1088/1742-6596/42/1/007
P. J. Cameron, M. Kang and D. Stark,
Random preorders and alignments,
Discrete Math.310 (2010), 591-603; doi:
10.1016/j.disc.2009.04.021
P. J. Cameron, T. Prellberg and D. Stark, Asymptotic enumeration of
2-covers and line graphs, Discrete Math.310 (2010), 230-240; doi:
10.1016/j.disc.2008.09.008
J. Araújo, P. J. Cameron and B. Steinberg,
Between primitive and 2-transitive: synchronization and its friends,
Europ. Math. Soc. Surveys4 (2017), 101-184; doi:
10.4171/EMSS/4-2-1
P. J. Cameron, V. V. Swathi and M. S. Sunitha,
Matching in power graphs of finite groups, Annals of Combinatorics26 (2022), 379-391; doi:
10.1007/s00026-022-00576-5
P. J. Cameron, V. V. Swathi and M. S. Sunitha,
Matching in power graphs of finite groups, Annals of Combinatorics26 (2022), 379-391; doi:
10.1007/s00026-022-00576-5
P. J. Cameron and S. Tarzi,
Switching with more than two colours,
Europ. J. Combinatorics25 (2004), 169-177; doi:
10.1016/S0195-6698(03)00097-0
P. J. Cameron and S. Tarzi,
Limits of cubes,
Topology and its Applications155 (2008), 1454-1461; doi:
10.1016/j.topol.2008.03.022
P. J. Cameron, C. Laflamme, M. Pouzet, S. Tarzi and R. E. Woodrow,
Overgroups of the automorphism group of the Rado graph, Asymptotic
Geometric Analysis (ed. Monika Ludwig, Vitali D. Milman, Vladimir Pestov,
and Nicole Tomczak-Jaegermann),
Fields Institute Communications68, Springer, 2013, pp. 45-54,
ISBN 978-1-4614-6405-1
P. J. Cameron, H. R. Maimani, G. R. Omidi and B. Tayfeh-Rezaie,
3-designs from PSL(2,q),
Discrete Math.306 (2006), 3063-3073; doi:
10.1016/j.disc.2005.06.041
A. Bonato, P. J. Cameron, D. Delić and S. Thomassé,
Generalized pigeonhole properties of graphs and oriented graphs,
European J. Combinatorics23 (2002), 257-274.
P. J. Cameron, J. I. Hall, J. H. van Lint, T. A. Springer and
H. C. A. van Tilborg,
Translates of subgroups of the multiplicative group of a finite field,
Proc. Kon. Nederl. Akad. Wetensch. (A) 78 (1975), 285-289.
P. J. Cameron and H. C. A. van Tolborg (editors),
A Collection of Contributions in Honour of Jack van Lint,
Topics in Discrete Math.7, North-Holland, Amsterdam, 1992.
F. C. Bussemaker, P. J. Cameron, J. J. Seidel and S. V. Tsaranov,
Tables of Signed Graphs,
Technical Report 91-WSK-01, Eindhoven University of Technology, 1991.
P. J. Cameron, J. J. Seidel and S. V. Tsaranov,
Signed graphs, root lattices and Coxeter groups,
J. Algebra164 (1994), 173-209.
P. J. Cameron, A. J. W. Hilton and E. R. Vaughan,
An analogue of Ryser's Theorem for partial Sudoku squares,
J. Combinatorial Math. Combinatorial Comput.80 (2012), 47-69.
P. J. Cameron and I. M. Wanless,
Covering radius for sets of permutations,
Discrete Math.293 (2005), 91-109; doi:
10.1016/j.disc.2004.08.024
J. M. Browning, P. J. Cameron and I. M. Wanless,
Bounds on the number of small Latin subsquares,
J. Combinatorial Theory (A) 124 (2014), 41-56;
doi: 10.1016/j.jcta.2014.01.002
P. J. Cameron and B. S. Webb,
Infinite designs, in
Handbook of Combinatorial Designs, 2nd edition
(ed. C. J. Colbourn and J. Dinitz),
Discrete Mathematics and its Applications 42,
Chapman & Hall/CRC, 2006, Chapter VI.30 (pp.504-505);
ISBN: 1584885068.
P. J. Cameron and B. S. Webb,
Perfect countably infinite Steiner triple systems,
Australasian J. Combinatorics54 (2012), 273-278.
P. J. Cameron and D. B. West (editors),
Research problems from the 20th British Combinatorial Conference,
Discrete Math,, 308 (2008), 621-630; doi:
10.1016/j.disc.2007.07.021
R. A. Bailey, P. J. Cameron, L. H. Soicher and E. R. Williams,
Substitutes for the non-existent square lattice designs for 36 varieties,
J. Agricultural, Biological and Environmental Statistics25 (2020), 487-499;
doi: 10.1007/s13253-020-00388-1
L. W. Beineke, P. J. Cameron and R. J. Wilson,
Introduction,
in Topics in Algebraic Graph Theory
(ed. L. W. Beineke and R. J. Wilson),
Cambridge Univ. Press, Cambridge, 2004 (ISBN 0521801974), pp.1-29.
R. A. Bailey, P. J. Cameron, A. G. Chetwynd, D. E. Daykin,
A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and
D. R. Woodall,
On the intricacy of combinatorial construction problems,
Discrete Math.50 (1984), 71-97.
P. J. Cameron, C. Laflamme, M. Pouzet, S. Tarzi and R. E. Woodrow,
Overgroups of the automorphism group of the Rado graph, Asymptotic
Geometric Analysis (ed. Monika Ludwig, Vitali D. Milman, Vladimir Pestov,
and Nicole Tomczak-Jaegermann),
Fields Institute Communications68, Springer, 2013, pp. 45-54,
ISBN 978-1-4614-6405-1
P. J. Cameron and T. Wu,
The complexity of the weight problem for permutation groups,
Electr. Notes Discrete Math.28 (2007), 109-116; doi:
10.1016/j.endm.2007.0
1.034
P. J. Cameron and T.Wu,
The complexity of the weight problem for permutation and matrix groups,
Discrete Math.310 (2010), 408-416; doi:
10.1016/j.disc.2009.03.005
C. Buchheim, P. J. Cameron and T. Wu,
On the subgroup distance problem,
Discrete Math.309 (2009), 962-968; doi:
10.1016/j.disc.2008.01.036
P. J. Cameron, S. Riis and T. Wu,
On the guessing number of shift graphs,
The Hall–Paige conjecture, and synchronization for affine and diagonal groups,
J. Algebra545 (2020), 27-42;
doi: 10.1016/j.jalgebra.2019.02.025
J. N. Bray, Q. Cai, P. J. Cameron, P. Spiga and H. Zhang,
The Hall–Paige conjecture, and synchronization for affine and diagonal groups,
J. Algebra545 (2020), 27-42;
doi: 10.1016/j.jalgebra.2019.02.025