This page will be removed soon!
This page has not been maintained for some time, and it would be a lot of work to bring it back up to date. So I propose to take it down at the end of 2016. Please send comments to me before then!

Permutation groups resources

We need your help. Please email me (p.j.cameron(at)qmul.ac.uk) to suggest inclusions in our list. Or email comments about the content, format, etc. The links in the tables below should open new browser windows.

This site is listed on the Intute Mathematics Gateway.

At Queen Mary:
Permutation groups notes and preprints Permutation group problems, Problems from "Permutations" "Permutation Groups" book homepage Peter Cameron's homepage Combinatorics Study Group Design Research Group, Design resources, Lecture notes Mathematics Research Centre Queen Mary Maths Notes ATLAS of Finite Group Representations, by R. A. Wilson et al.
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Elsewhere:
Permutation Groups Permutation Groups section of the Mathematics Subject Classification World of Mathematics: Permutation Group Alexander Hulpke's transitive groups of small degree Model theory and permutation groups at the University of East Anglia Model theory: Fraïssé limits, countably categorical structures, and infinite symmetric groups, a course at UCLA Permutation, on the use of permutations by composers including Bach and Pärt Change ringing, a practical application of permutations Steven H. Cullinane's Diamond Theory page (hidden symmetries of Plato's diamond and generalisations) Adventure Games, Permutations, and Spreadsheets, by Paul Vodola Group Theory and Algebra Algebra at Yahoo Mathematics Group Theory at the Open Directory Abstract algebra at MathArchive Group Theory preprints on Mathematics ArXiv New York Group Theory Cooperative Group Action Forum (an international mathematical association and discussion group) Symmetric presentations Matroids page Gordon Royle's Combinatorial Catalogues: lists of various graphs, geometries, designs, groups, etc.
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Homepages of books:
Association Schemes: Designed Experiments, Algebra and Combinatorics, by R. A. Bailey Permutation Groups by Peter J. Cameron Permutation Groups, by John D. Dixon and Brian Mortimer Groups and Computation, Volume 1 and Volume 2, edited by Larry Finkelstein and William M. Kantor (DIMACS series) Topological Methods in Group Theory, by Ross Geoghegan
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Electronic journals:
Electronic Journal of Combinatorics Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry) Geometry and Topology Electronic Journal of Probability, and Electronic Communications in Probability The Electronic Journal of Linear Algebra Other electronic journals
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Computer packages:
GAP homepage (Groups, Algorithms and Programming) GRAPE (GAP share package for graphs, geometries, groups) by Leonard Soicher Fundamental, a program for computing fundamental groups and covers (uses GAP and GRAPE) Overview of MAGMA (Computational algebra system for algebra, number theory and geometry) Andries Brouwer's DRG finder (instructions here) Bill Kocay's Groups and Graphs for Mac or Windows PERMS 2.1, a Mathematica package for permutation groups by Bernd Fiedler SYMMETRICA, a program for algebraic combinatorics of the symmetric group, from the University of Bayreuth John Stembridge's Maple packages: symmetric functions, posets, and Coxeter and Weyl groups (with a tutorial for Coxeter and Weyl) Schur, a package for Lie groups and symmetric polynomials by Steven M. Christensen and Associates, Inc. PermGroup, an on-line permutation group calculator based on GAP4
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Institutions:
British Combinatorial Committee Homepage and Bulletin London Mathematical Society European Mathematical Society EIDMA (Euler Institute for Discrete Mathematics and its Applications), Eindhoven University of Technology DIMACS (Center for Discrete Mathematics and Computer Science), Rutgers University
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Other mathematical resources:
Eric Weisstein's World of Mathematics   Penn State University's list of Mathematics web sites around the world MathArchive Mathematics WWW Virtual Library Yahoo Mathematics Open Directory Mathematics Intute Mathematics Gateway The Geometry Net MathSearch (searches mathematics pages) MathWeb (Web directory from the AMS) The Mathematical Atlas (a gateway to modern mathematics) MacTutor History of Mathematics Archive Free refereed journals on the Web Number Theory Web The Probability Web Erdös Number Project
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Peter J. Cameron
8 June 2005