Science Math Algebra Group Theory
Search Directory: Science: Math: Algebra: Group_Theory:
- ArXiv Front: GR Group Theory - Group theory section of the mathematics e-print arXiv.
- 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.
- Broue's Abelian Defect Group Conjecture - A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard.
- 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
- GAP - Groups, Algorithms and Programming - GAP is a free system for computational discrete algebra.
- Group Action Forum - Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
- 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.
- 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.
- 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.
- Mod-2 Cohomology of 2-Groups - Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64.
- The Moonshine Page - Bibliography, meetings.
- 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.
- 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.
- Open Problems in Group Theory - Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.
- Papers by R. E. Borcherds - Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
- PARGAP - Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP.
- Permutation Group Problems - Compiled by Peter Cameron.
- Permutation Groups Resources - Web-based resources for permutation groups and related areas in group theory and combinatorics.
- Semigroup Theory - Directory of home pages and conferences maintained at Southampton University.
- Symmetric Presentations - Some presentations of groups (symmetric or otherwise).
- 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.
- Symmetry Groups in Maple V - A worksheet by W.D. Joyner.
- Topological Methods in Group Theory - Table of contents only; draft chapters can be downloaded by arrangement.
- Trinomials with Interesting Galois Groups - Parametrisation of trinomials with Galois groups contained in the simple group G168.
- 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.
- 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.
Search Directory: Science: Math: Algebra: Group_Theory:
