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ATLAS of Finite Group Representations - Representations of many finite simple groups and related groups such as covering groups and automorphism groups of simple groups. Available by FTP in alternative formats: Meataxe ASCII, Meataxe binary, and GAP.
ArXiv Front: GR Group Theory - Group theory section of the mathematics e-print arXiv.
Character Tables for Chemically Important Point Groups - By Achim Gelessus, Mainz.
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
ESSGT 2001 - The 11th European Summer School in Group Theory. CIRM, Marseille-Luminy, France; 2--13 July 2001.
Field Arithmetic Archive - This archive stores electronic preprints on the arithmetic of fields, Galois theory, model theory of fields, and related topics.
GAP - Groups, Algorithms and Programming - GAP is a free system for computational discrete algebra.
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.
Groups St Andrews 2001 in Oxford - 5--18 August 2001, Oxford
Groups of Small Order - A list of isomorphism classes and further information on groups of order up to 30, by John Pedersen, University of South Florida.
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.
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.
Moonshine Bibliography - Books and papers relating to the Conway-Norton-Thompson Moonshine conjecture, proved by Richard Borcherds.
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.
Numbers of Small Groups - The good people at GAP, in particular Hans-Ulrich Besche and Bettina Eick have produced an explicit GAP catalogue of all the groups of order up to 1000 (with the exception of the orders 512 and 768). This table simply gives the number of groups contained in their catalogue, so you can quickly figure out how difficult your task is likely to be.
Open Problems in Group Theory - This is a part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new. Great for graduate students.
Papers by R. E. Borcherds - Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
People in Geometric Group Theory - List of scholars in the field of Geometric Group Theory.
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