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Sub-Categories in Group Theory
Web Sites in Category Group Theory
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.
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.
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 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.
Why Are Braids Orderable? - An evolving text by Patrick Dehornoy, Ivan Dynnikov, Dale Rolfsen, and Bert Wiest: describing the techniques used to prove that Artin's braid groups enjoy a left-invariant linear ordering. Comments and contributions are welcomed. PS/PDF.
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