| Abstract groups: The abstract group concept. Material based on lectures by Peter Neumann. |
| ArXiv Front: GR Group Theory: Group theory section of the mathematics e-print arXiv. |
| Binary Coordinate Systems: Article by Steven H. Cullinane. Defines "Cartesian" coordinate systems for small finite geometries over the two-element field, and discusses geometrically simple generators for affine group actions. |
| Broue's Abelian Defect Group Conjecture: A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard. |
| Common Systems of Coset Representatives: Proof of existence of a common system of representatives for the left and right cosets of a finite subgroup of a group by Ashay Dharwadker. |
| Computational Tools for Group Theory: Describes work to create a program that could be used to generate, identify, and analyze finite groups presented in the form of a Cayley Table as well as visualize the groups that are generated. |
| Coxeter/Weyl Tutorial: A Tutorial Introduction to the Coxeter and Weyl Packages, a pair of Maple packages for working with root systems, finite Coxeter groups and Weyl characters |
| GAP - Groups, Algorithms and Programming: GAP is a free system for computational discrete algebra. |
| Group Action Forum: Association for the study of the theory of transformation groups and related topics. Members, news, events, publications. |
| Group Pub Forum Home Page: These are the community pages for Group Theory, the mathematics of symmetry. Group Theory is a branch of algebra, but has strong connections with almost all parts of mathematics. |
| Group Theory: On-line book by Prederic Cvitanovic. Available both in 'psd' and 'ps' formats. |
| International Society for Group Theory in Cognitive Science: Group theory in: Robotics, Problem-Solving, Planning, Learning, Language, Perception, Art, Design, Engineering, Manufacturing, Epistemology, Measurement, Computation, Neuroscience, Anthropology, Semiotics. |
| Introduction to Group Theory: A fairly easy to understand tutorial. Fourteen sections, including groups, Cayley tables, subgroups, cosets, Lagrange's theorem, cyclic groups and subgroups, permutations, and Rubik's cube. |
| Mod-2 Cohomology of 2-Groups: Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64. |
| New York Group Theory Cooperative: Software (Magnus), preprints, meetings, links. Magnus - a graphically-oriented system for computational group theory - allows one to explore and experiment with abstract groups without the need for learning yet another programming language. Magnus is freely available software (GPL) based on Tcl/Tk. |
| Open Problems in Group Theory: Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new. |
| Papers by R. E. Borcherds: Including proof of the Moonshine Conjecture (TeX, DVI, PDF). |
| PARGAP: Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP. |
| Permutation Group Problems: Compiled by Peter Cameron. |
| Permutation Groups Resources: Web-based resources for permutation groups and related areas in group theory and combinatorics. |
| Semigroup Theory: Directory of home pages and conferences maintained at Southampton University. |
| Symmetric Presentations: Some presentations of groups (symmetric or otherwise). |
| Symmetry: The main point group symmetries of interest to defect physics by operation (reflection, rotations etc) and classification (trigonal, and cubic). Most point groups also have the associated character table on-line. |
| Symmetry Groups in Maple V: A worksheet by W.D. Joyner. |
| The Lie algebras su(N), an introduction: Publication: An Introduction to the Lie Algebras su(N). By Walter Pfeifer, Switzerland. A free copy can be ordered. |
| The Moonshine Page: Bibliography, meetings. |
| The North British Quantum Groups Collective: The North British Quantum Groups Collective meets regularly to discuss research in quantum groups, with the aim of disseminating recent results and exchanging ideas and information on the subject. |
| The World of Groups: Part of the World Wide Algebra project. Open problems in combinatorial group theory, a list of personal web pages, conferences and seminars, and useful links. |
| Topological Methods in Group Theory: Table of contents only; draft chapters can be downloaded by arrangement. |
| Trinomials with Interesting Galois Groups: Parametrisation of trinomials with Galois groups contained in the simple group G168. |
Classical
