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Top: Science: Math: Algebra: Group_Theory:
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    • 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.
    • 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 character.
    • 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.
    • 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.
    • Mod-2 Cohomology of 2-Groups - - Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64.
    • The Moonshine Page - - Bibliography, meetings.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
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    Group Theory - Science - Math - Algebra - Group Theory
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