Directory > Science > Math > Algebra > Group Theory Broue's Abelian Defect Group Conjecture A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard. http://www.maths.bris.ac.uk/~majcr/adgc/adgc.html Reviews Rating: Not yet Rated
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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. http://www.grouptheory.info/ Reviews Rating: Not yet Rated
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Group Action Forum Association for the study of the theory of transformation groups and related topics. Members, news, events, publications. http://www.astagor.net/gaf/ Reviews Rating: Not yet Rated
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Open Problems in Group Theory Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new. http://zebra.sci.ccny.cuny.edu/web/nygtc/problems/ Reviews Rating: Not yet Rated
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PARGAP Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP. http://www.ccs.neu.edu/home/gene/pargap.html Reviews Rating: Not yet Rated
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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. http://matin.math.unicaen.fr/~dehornoy/books.html Reviews Rating: Not yet Rated
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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. http://m759.freeservers.com/coord.html Reviews Rating: Not yet Rated
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What is Moonshine? by Richard Borcherds A multimedia web seminar: slides and audio. http://hplbwww2.hpl.hp.com/brims/websems/colloq98/borcherds/sem.html Reviews Rating: Not yet Rated
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Trinomials with Interesting Galois Groups Parametrisation of trinomials with Galois groups contained in the simple group G168. http://www.math.harvard.edu/~elkies/trinomial.html Reviews Rating: Not yet Rated
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Papers by R. E. Borcherds Including proof of the Moonshine Conjecture (TeX, DVI, PDF). http://www.math.berkeley.edu/~reb/papers/ Reviews Rating: Not yet Rated
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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. http://members.tripod.com/dogschool/ Reviews Rating: Not yet Rated
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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. http://www.mcs.le.ac.uk/~rjm25/qg.html Reviews Rating: Not yet Rated
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Permutation Groups Resources Web-based resources for permutation groups and related areas in group theory and combinatorics. http://www.maths.qmw.ac.uk/~pjc/permgps/ Reviews Rating: Not yet Rated
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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. http://newton.ex.ac.uk/people/goss/symmetry/index.html Reviews Rating: Not yet Rated
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Semigroup Theory Directory of home pages and conferences maintained at Southampton University. http://www.maths.soton.ac.uk/semigroups/homepage.html Reviews Rating: Not yet Rated
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Permutation Group Problems Compiled by Peter Cameron. http://www.maths.qmw.ac.uk/~pjc/pgprob.html Reviews Rating: Not yet Rated
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The Moonshine Page Bibliography, meetings. http://cicma.mathstat.concordia.ca/faculty/cummins/moonshine.html Reviews Rating: Not yet Rated
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GAP - Groups, Algorithms and Programming GAP is a free system for computational discrete algebra. http://www.gap-system.org/ Reviews Rating: Not yet Rated
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Mod-2 Cohomology of 2-Groups Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64. http://www.math.uga.edu/~jfc/groups/cohomology.html Reviews Rating: Not yet Rated
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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. http://www.rci.rutgers.edu/~mleyton/GT.htm Reviews Rating: Not yet Rated
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Symmetry Groups in Maple V A worksheet by W.D. Joyner. http://web.usna.navy.mil/~wdj/symm_gp.html Reviews Rating: Not yet Rated
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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 http://www.math.lsa.umich.edu/~jrs/coxtut.html Reviews Rating: Not yet Rated
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Topological Methods in Group Theory Table of contents only; draft chapters can be downloaded by arrangement. http://math.binghamton.edu/ross/contents.html Reviews Rating: Not yet Rated
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Symmetric Presentations Some presentations of groups (symmetric or otherwise). http://www.mat.bham.ac.uk/J.N.Bray/res.html Reviews Rating: Not yet Rated
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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. http://www.bath.ac.uk/~masgcs/gpf.html Reviews Rating: Not yet Rated
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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. http://www.grouptheory.org/ Reviews Rating: Not yet Rated
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ArXiv Front: GR Group Theory Group theory section of the mathematics e-print arXiv. http://front.math.ucdavis.edu/math.GR Reviews Rating: Not yet Rated
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