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Tables 5
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 Abstract groupsAbstract groups
 The abstract group concept. Material based on lectures by Peter Neumann.
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ArXiv Front: GR Group TheoryArXiv Front: GR Group Theory
 Group theory section of the mathematics e-print arXiv.
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Binary Coordinate SystemsBinary 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.
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Broue's Abelian Defect Group ConjectureBroue's Abelian Defect Group Conjecture
 A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard.
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Common Systems of Coset RepresentativesCommon 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.
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Computational Tools for Group TheoryComputational 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.
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Coxeter/Weyl TutorialCoxeter/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
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GAP - Groups, Algorithms and ProgrammingGAP - Groups, Algorithms and Programming
 GAP is a free system for computational discrete algebra.
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Group Action ForumGroup Action Forum
 Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
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Group Pub Forum Home PageGroup 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.
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Group TheoryGroup Theory
 On-line book by Prederic Cvitanovic. Available both in 'psd' and 'ps' formats.
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International Society for Group Theory in Cognitive ScienceInternational 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.
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Introduction to Group TheoryIntroduction 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.
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The Lie algebras su(N), an introductionThe 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.
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Mod-2 Cohomology of 2-GroupsMod-2 Cohomology of 2-Groups
 Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64.
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New York Group Theory CooperativeNew 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.
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Open Problems in Group TheoryOpen Problems in Group Theory
 Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.
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Papers by R. E. BorcherdsPapers by R. E. Borcherds
 Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
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PARGAPPARGAP
 Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP.
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Permutation Group ProblemsPermutation Group Problems
 Compiled by Peter Cameron.
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Permutation Groups ResourcesPermutation Groups Resources
 Web-based resources for permutation groups and related areas in group theory and combinatorics.
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SymmetrySymmetry
 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.
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Symmetry Groups in Maple VSymmetry Groups in Maple V
 A worksheet by W.D. Joyner.
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Trinomials with Interesting Galois GroupsTrinomials with Interesting Galois Groups
 Parametrisation of trinomials with Galois groups contained in the simple group G168.
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The World of GroupsThe 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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