Problem pages index

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The list of problems which have appeared on my homepage and were subsequently "put out to grass" is growing rather long, so I have tried to index them, to make them easier to use. (There are now 165 problems here, though some are duplicates and some have been solved.) At the same time I have integrated my collections of permutation group problems into the main list. Comments welcome!

The notation (S) means that the problem has been solved; the text includes either a reference to the solution, or a sketch of how it is done. Of course, even a solved problem might be worth generalising!

Some problems appear in more than one class.

Note added 26 March 2023: These problems have just been moved here from my old web page at QMUL. I will try to edit them to bring the information up to date, but this will be a long slow process. The web page still exists but it is now here.

Index

In this index, numbers (Hn) refer to problems taken from my homepage; numbers (Bn) refer to problems from my article "Permutations" in the Budapest conference Paul Erdős and his Mathematics; numbers (Pn) are other problems on permutations and permutation groups; and numbers (BCCm.n) to problems I have presented at the British Combinatorial Conference. The problems live in separate files: homepage problems, problems from "Permutations", permutation group problems, and BCC problems.

The problems are classified as follows.


Permutations and permutation groups

Infinite groups
Finite groups
Sets
Semigroups
Miscellaneous

Designs and configurations

Designs
Finite geometry
Association schemes
Matroids

Graph theory

Enumerative
Structural

Miscellaneous problems

Number theory
Combinatorics
Algebra
Other

Algorithms and complexity

Peter J. Cameron
p.j.cameron(AT)qmul.ac.uk
26 December 2012