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Group Theory
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  GAP - Groups, Algorithms and Programming http://www.gap-system.org/
GAP is a free system for computational discrete algebra.
  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.
  Group Pub Forum Home Page http://www.bath.ac.uk/~masgcs/gpf.html
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.
  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.
  Group Theory http://www.nbi.dk/GroupTheory/
On-line book by Prederic Cvitanovic. Available both in 'psd' and 'ps' formats.
  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.
  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.
  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.
  Group Action Forum http://gaf.astagor.net/
Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
  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
  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.
  ArXiv Front: GR Group Theory http://front.math.ucdavis.edu/math.GR
Group theory section of the mathematics e-print arXiv.
  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.
  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.
  Permutation Group Problems http://www.maths.qmw.ac.uk/~pjc/pgprob.html
Compiled by Peter Cameron.
  http://www.ccs.neu.edu/home/gene/pargap.html http://www.ccs.neu.edu/home/gene/pargap.html
Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP.
  Topological Methods in Group Theory http://www.math.binghamton.edu/ross/contents.html
Table of contents only; draft chapters can be downloaded by arrangement.
  Semigroup Theory http://www.personal.soton.ac.uk/jhr/semigroups/
Directory of home pages and conferences maintained at Southampton University.
  Binary Coordinate Systems http://m759.freeservers.com/coord.html
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.
  Papers by R. E. Borcherds http://math.berkeley.edu/~reb/papers/
Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
  Trinomials with Interesting Galois Groups http://www.math.harvard.edu/~elkies/trinomial.html
Parametrisation of trinomials with Galois groups contained in the simple group G168.
  Common Systems of Coset Representatives http://www.dharwadker.org/coset.html
Proof of the existence of a common system of representatives for the left and right cosets of a finite subgroup of a group by Ashay Dharwadker.
  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.
  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.
  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.
  New York Group Theory Cooperative http://zebra.sci.ccny.cuny.edu/web/
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 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.
  Open Problems in Group Theory http://zebra.sci.ccny.cuny.edu/web/nygtc/problems/
Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.

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