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Katolog > Science > Math > Algebra > Group Theory

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      Links:

      ArXiv Front: GR Group Theory http://front.math.ucdavis.edu/math.GR

      ArXiv Front: GR Group Theory

      Group theory section of the mathematics e-print arXiv.
      front.math.ucdavis.edu/math.GR
      Group Pub Forum Home Page http://www.bath.ac.uk/~masgcs/gpf.html

      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.
      www.bath.ac.uk/~masgcs/gpf.html
      Topological Methods in Group Theory http://www.math.binghamton.edu/ross/contents.html

      Topological Methods in Group Theory

      Table of contents only; draft chapters can be downloaded by arrangement.
      www.math.binghamton.edu/ross/contents.html
      Coxeter/Weyl Tutorial http://www.math.lsa.umich.edu/~jrs/coxtut.html

      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
      www.math.lsa.umich.edu/~jrs/coxtut.html
      Symmetry Groups in Maple V http://web.usna.navy.mil/~wdj/symm_gp.html

      Symmetry Groups in Maple V

      A worksheet by W.D. Joyner.
      web.usna.navy.mil/~wdj/symm_gp.html
      International Society for Group Theory in Cognitive Science http://www.rci.rutgers.edu/~mleyton/GT.htm

      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, Ne
      www.rci.rutgers.edu/~mleyton/GT.htm
      Mod-2 Cohomology of 2-Groups http://www.math.uga.edu/~jfc/groups/cohomology.html

      Mod-2 Cohomology of 2-Groups

      Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64.
      www.math.uga.edu/~jfc/groups/cohomology.html
      GAP - Groups, Algorithms and Programming http://www.gap-system.org/

      GAP - Groups, Algorithms and Programming

      GAP is a free system for computational discrete algebra.
      www.gap-system.org
      The Moonshine Page http://cicma.mathstat.concordia.ca/faculty/cummins/moonshine.html

      The Moonshine Page

      Bibliography, meetings.
      cicma.mathstat.concordia.ca/faculty/cummins/moonshine.html
      Permutation Group Problems http://www.maths.qmw.ac.uk/~pjc/pgprob.html

      Permutation Group Problems

      Compiled by Peter Cameron.
      www.maths.qmw.ac.uk/~pjc/pgprob.html
      Semigroup Theory http://www.maths.soton.ac.uk/semigroups/homepage.html

      Semigroup Theory

      Directory of home pages and conferences maintained at Southampton University.
      www.maths.soton.ac.uk/semigroups/homepage.html
      Permutation Groups Resources http://www.maths.qmw.ac.uk/~pjc/permgps/

      Permutation Groups Resources

      Web-based resources for permutation groups and related areas in group theory and combinatorics.
      www.maths.qmw.ac.uk/~pjc/permgps
      The North British Quantum Groups Collective http://www.mcs.le.ac.uk/~rjm25/qg.html

      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.
      www.mcs.le.ac.uk/~rjm25/qg.html
      Introduction to Group Theory http://members.tripod.com/dogschool/

      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.
      members.tripod.com/dogschool
      Papers by R. E. Borcherds http://math.berkeley.edu/~reb/papers/

      Papers by R. E. Borcherds

      Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
      math.berkeley.edu/~reb/papers
      Trinomials with Interesting Galois Groups http://www.math.harvard.edu/~elkies/trinomial.html

      Trinomials with Interesting Galois Groups

      Parametrisation of trinomials with Galois groups contained in the simple group G168.
      www.math.harvard.edu/~elkies/trinomial.html
      Binary Coordinate Systems http://m759.freeservers.com/coord.html

      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.
      m759.freeservers.com/coord.html
      PARGAP http://www.ccs.neu.edu/home/gene/pargap.html

      PARGAP

      Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP.
      www.ccs.neu.edu/home/gene/pargap.html
      Open Problems in Group Theory http://zebra.sci.ccny.cuny.edu/web/nygtc/problems/

      Open Problems in Group Theory

      Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.
      zebra.sci.ccny.cuny.edu/web/nygtc/problems
      Broue's Abelian Defect Group Conjecture http://www.maths.bris.ac.uk/~majcr/adgc/adgc.html

      Broue's Abelian Defect Group Conjecture

      A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard.
      www.maths.bris.ac.uk/~majcr/adgc/adgc.html
      Symmetric Presentations http://web.mat.bham.ac.uk/J.N.Bray/res.html

      Symmetric Presentations

      Some presentations of groups (symmetric or otherwise).
      web.mat.bham.ac.uk/J.N.Bray/res.html
      Group Action Forum http://gaf.astagor.net/

      Group Action Forum

      Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
      gaf.astagor.net
      New York Group Theory Cooperative http://zebra.sci.ccny.cuny.edu/web/

      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 fr
      zebra.sci.ccny.cuny.edu/web
      Symmetry http://newton.ex.ac.uk/research/qsystems/people/goss/symmetry/index.html

      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.
      newton.ex.ac.uk/../qsystems/people/goss/symmetry/index.html
      The World of Groups http://www.cs.gc.cuny.edu/~cryptlab/gworld/gworld.html

      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.
      www.cs.gc.cuny.edu/~cryptlab/gworld/gworld.html

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