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GAP - Groups, Algorithms and Programming - http://www.gap-system.org/
GAP is a free system for computational discrete algebra. |
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Group Theory - http://en.wikipedia.org/wiki/Group_Theory
Information from Wikipedia on this concept, central to abstract algebra, its history, the main classes of groups and the applications of group theory. |
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Symmetry - http://newton.ex.ac.uk/research/qsystems/people/goss/symmetry/index.html
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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International Society for Group Theory in Cognitive Science - http://www.rci.rutgers.edu/~mleyton/GT.htm
Group theory in: Robotics, Problem-Solving, Planning, Learning, Language, Perception, Art, Design, Engineering, Manufacturing, Epistemology, Measurement, Computation, Neuroscience, Anthropology, Semiotics. |
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Algebra and Representation Theory in the North (ARTIN) - http://www.maths.abdn.ac.uk/artin/
List of future meetings in the United Kingdom and details of past meetings. |
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Mod-2 Cohomology of 2-Groups - http://www.math.uga.edu/~jfc/groups/cohomology.html
Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64. |
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Group Action Forum - http://gaf.astagor.net/
Association for the study of the theory of transformation groups and related topics. Members, news, events, publications. |
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Broue's Abelian Defect Group Conjecture - http://www.maths.bris.ac.uk/~majcr/adgc/adgc.html
A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard. |
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Coxeter/Weyl Tutorial - http://www.math.lsa.umich.edu/~jrs/coxtut.html
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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Group Theory - http://www.nbi.dk/GroupTheory/
On-line book by Prederic Cvitanovic. Available both in 'psd' and 'ps' formats. |
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ArXiv Front: GR Group Theory - http://front.math.ucdavis.edu/math.GR
Group theory section of the mathematics e-print arXiv. |
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Permutation Groups Resources - http://www.maths.qmw.ac.uk/~pjc/permgps/
Web-based resources for permutation groups and related areas in group theory and combinatorics. |
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Semigroup Theory - http://www.personal.soton.ac.uk/jhr/semigroups/
Directory of home pages and conferences maintained at Southampton University. |
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Introduction to Group Theory - http://members.tripod.com/dogschool/
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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Permutation Group Problems - http://www.maths.qmw.ac.uk/~pjc/pgprob.html
Compiled by Peter Cameron. |
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Papers by R. E. Borcherds - http://math.berkeley.edu/~reb/papers/
Including proof of the Moonshine Conjecture (TeX, DVI, PDF). |
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The World of Groups - http://www.cs.gc.cuny.edu/~cryptlab/gworld/gworld.html
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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The Lie algebras su(N), an introduction - http://lie.walterpfeifer.ch/
Publication: An Introduction to the Lie Algebras su(N). By Walter Pfeifer, Switzerland. A free copy can be ordered. |
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Computational Tools for Group Theory - http://www.groovypower.com/thesis/
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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Abstract groups - http://www-history.mcs.st-andrews.ac.uk/history/HistTopics/Abstract_groups.html
The abstract group concept. Material based on lectures by Peter Neumann. |