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Abstract groups
The abstract group concept. Material based on lectures by Peter Neumann.
http://www-history.mcs.st-andrews.ac.uk/history/HistTopics/Abstract_groups.html
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Algebra and Representation Theory in the North (ARTIN)
List of future meetings in the United Kingdom and details of past meetings.
http://www.maths.abdn.ac.uk/artin/
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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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
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Common Systems of Coset Representatives
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.
http://www.dharwadker.org/coset.html
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Computational 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.
http://www.groovypower.com/thesis/
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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
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GAP - Groups, Algorithms and Programming
GAP is a free system for computational discrete algebra.
http://www.gap-system.org/
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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://gaf.astagor.net/
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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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Group Theory
On-line book by Prederic Cvitanovic. Available both in 'psd' and 'ps' formats.
http://www.nbi.dk/GroupTheory/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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.
http://en.wikipedia.org/wiki/Group_Theory
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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://dogschool.tripod.com/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Papers by R. E. Borcherds
Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
http://math.berkeley.edu/~reb/papers/
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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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Permutation Group Problems
Compiled by Peter Cameron.
http://www.maths.qmw.ac.uk/~pjc/pgprob.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Semigroup Theory
Directory of home pages and conferences maintained at Southampton University.
http://www.personal.soton.ac.uk/jhr/semigroups/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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://www.staff.ncl.ac.uk/j.p.goss/symmetry
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

The 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.
http://lie.walterpfeifer.ch/
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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.cs.gc.cuny.edu/~cryptlab/gworld/gworld.html
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Topological Methods in Group Theory
Table of contents only; draft chapters can be downloaded by arrangement.
http://www.math.binghamton.edu/ross/contents.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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