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Group Theory | |||||||
  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. |
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. |
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. |
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. |
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. |
Parametrisation of trinomials with Galois groups contained in the simple group G168. |
Including proof of the Moonshine Conjecture (TeX, DVI, PDF). |
Table of contents only; draft chapters can be downloaded by arrangement. |
Directory of home pages and conferences maintained at Southampton University. |
Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64. |
On-line book by Prederic Cvitanovic. Available both in 'psd' and 'ps' formats. |
Group theory in: Robotics, Problem-Solving, Planning, Learning, Language, Perception, Art, Design, Engineering, Manufacturing, Epistemology, Measurement, Computation, Neuroscience, Anthropology, Semiotics. |
Web-based resources for permutation groups and related areas in group theory and combinatorics. |
Compiled by Peter Cameron. |
A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard. |
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. |
List of future meetings in the United Kingdom and details of past meetings. |
Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP. |
Association for the study of the theory of transformation groups and related topics. Members, news, events, publications. |
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 |
The abstract group concept. Material based on lectures by Peter Neumann. |
GAP is a free system for computational discrete algebra. |
Group theory section of the mathematics e-print arXiv. |
Information from Wikipedia on this concept, central to abstract algebra, its history, the main classes of groups and the applications of group theory. |
Publication: An Introduction to the Lie Algebras su(N). By Walter Pfeifer, Switzerland. A free copy can be ordered. |
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. |
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