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Home / Science / Math / Algebra / Group Theory
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Web Sites
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- ArXiv Front: GR Group Theory - Group theory section of the mathematics e-print arXiv.
front.math.ucdavis.edu/math.GR
- 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
- 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
- GAP - Groups, Algorithms and Programming - GAP is a free system for computational discrete algebra.
www.gap-system.org
- Group Action Forum - Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
math117.mathd.amu.edu.pl/gaf
- 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
- 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.
www.rci.rutgers.edu/~mleyton/GT.htm
- 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
- 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
- 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.
www.grouptheory.org
- Open Problems in Group Theory - This is a part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new. Great for graduate students.
zebra.sci.ccny.cuny.edu/web/problems
- Papers by R. E. Borcherds - Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
www.math.berkeley.edu/~reb/papers
- 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
- People in Geometric Group Theory - List of scholars in the field of Geometric Group Theory.
www.math.tamu.edu/~jon.mccammond/geogrouptheory/people.html
- Permutation Group Problems - Compiled by Peter Cameron.
www.maths.qmw.ac.uk/~pjc/pgprob.html
- Permutation Groups Resources - Web-based resources for permutation groups and related areas in group theory and combinatorics.
www.maths.qmw.ac.uk/~pjc/permgps
- Semigroup Theory - Directory of home pages and conferences maintained at Southampton University.
www.maths.soton.ac.uk/semigroups/homepage.html
- Symmetric Presentations - Some presentations of groups (symmetric or otherwise).
www.mat.bham.ac.uk/J.N.Bray/res.html
- Symmetry - The main point group symmetries of interest to defect physics by operation (reflection, rotations etc) and classification (trigonal, cubic etc). Most point groups also have the associated character table on-line.
newton.ex.ac.uk/people/goss/symmetry/index.html
- Symmetry Groups in Maple V - A worksheet by W.D. Joyner.
web.usna.navy.mil/~wdj/symm_gp.html
- The Moonshine Page - Bibliography, meetings.
cicma.mathstat.concordia.ca/faculty/cummins/moonshine.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
- Topological Methods in Group Theory - Table of contents only; draft chapters can be downloaded by arrangement.
math.binghamton.edu/ross/contents.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
- What is Moonshine? by Richard Borcherds - A multimedia web seminar: slides and audio.
hplbwww2.hpl.hp.com/brims/websems/colloq98/borcherds/sem.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.
matin.math.unicaen.fr/~dehornoy/books.html
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