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ArXiv Front: GR Group Theory open in new window
Group theory section of the mathematics e-print arXiv.
(http://front.math.ucdavis.edu/math.GR)

Binary Coordinate Systems open in new window
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)

Coxeter/Weyl Tutorial open in new window
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)

GAP - Groups, Algorithms and Programming open in new window
GAP is a free system for computational discrete algebra.
(http://www.gap-system.org/)

Group Action Forum open in new window
Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
(http://www.astagor.net/gaf/)

Group Pub Forum Home Page open in new window
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)

International Society for Group Theory in Cognitive Science open in new window
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)

Introduction to Group Theory open in new window
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/)

Mod-2 Cohomology of 2-Groups open in new window
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)

New York Group Theory Cooperative open in new window
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/)

Open Problems in Group Theory open in new window
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/)

Papers by R. E. Borcherds open in new window
Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
(http://www.math.berkeley.edu/~reb/papers/)

PARGAP open in new window
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)

People in Geometric Group Theory open in new window
List of scholars in the field of Geometric Group Theory.
(http://www.math.tamu.edu/~jon.mccammond/geogrouptheory/peopl)

Permutation Group Problems open in new window
Compiled by Peter Cameron.
(http://www.maths.qmw.ac.uk/~pjc/pgprob.html)

Permutation Groups Resources open in new window
Web-based resources for permutation groups and related areas in group theory and combinatorics.
(http://www.maths.qmw.ac.uk/~pjc/permgps/)

Semigroup Theory open in new window
Directory of home pages and conferences maintained at Southampton University.
(http://www.maths.soton.ac.uk/semigroups/homepage.html)

Symmetric Presentations open in new window
Some presentations of groups (symmetric or otherwise).
(http://www.mat.bham.ac.uk/J.N.Bray/res.html)

Symmetry open in new window
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)

Symmetry Groups in Maple V open in new window
A worksheet by W.D. Joyner.
(http://web.usna.navy.mil/~wdj/symm_gp.html)

The Moonshine Page open in new window
Bibliography, meetings.
(http://cicma.mathstat.concordia.ca/faculty/cummins/moonshine)

The North British Quantum Groups Collective open in new window
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)

The World of Groups open in new window
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/)

Topological Methods in Group Theory open in new window
Table of contents only; draft chapters can be downloaded by arrangement.
(http://math.binghamton.edu/ross/contents.html)

Trinomials with Interesting Galois Groups open in new window
Parametrisation of trinomials with Galois groups contained in the simple group G168.
(http://www.math.harvard.edu/~elkies/trinomial.html)

What is Moonshine? by Richard Borcherds open in new window
A multimedia web seminar: slides and audio.
(http://hplbwww2.hpl.hp.com/brims/websems/colloq98/borcherds/)

Why Are Braids Orderable? open in new window
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)


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