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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
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/
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
Topological Methods in Group Theory
Table of contents only; draft chapters can be downloaded by arrangement.
http://math.binghamton.edu/ross/contents.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
http://www.math.lsa.umich.edu/~jrs/coxtut.html
Symmetry Groups in Maple V
A worksheet by W.D. Joyner.
http://web.usna.navy.mil/~wdj/symm_gp.html
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
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
GAP - Groups, Algorithms and Programming
GAP is a free system for computational discrete algebra.
http://www.gap-system.org/
The Moonshine Page
Bibliography, meetings.
http://cicma.mathstat.concordia.ca/faculty/cummins/moonshine.html
Permutation Group Problems
Compiled by Peter Cameron.
http://www.maths.qmw.ac.uk/~pjc/pgprob.html
Semigroup Theory
Directory of home pages and conferences maintained at Southampton University.
http://www.maths.soton.ac.uk/semigroups/homepage.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.
http://newton.ex.ac.uk/people/goss/symmetry/index.html
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/
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
Symmetric Presentations
Some presentations of groups (symmetric or otherwise).
http://web.mat.bham.ac.uk/J.N.Bray/res.html
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/
Papers by R. E. Borcherds
Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
http://www.math.berkeley.edu/~reb/papers/
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
What is Moonshine? by Richard Borcherds
A multimedia web seminar: slides and audio.
http://hplbwww2.hpl.hp.com/brims/websems/colloq98/borcherds/sem.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.
http://m759.freeservers.com/coord.html
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
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
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/
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/
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/
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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