Bazsites.com Group Theory
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On the Web
- Neumann, Peter M . - The Queen's College, University of Oxford. Varieties of groups; finite permutation groups; infinite permutation groups; design of group-theoretic algorithms; soluble groups; quantitative topics in group theory; matrices over finite fields; miscellaneous questions in combinatorics, geometry and general group theory; history of group theory. Chairman of the UK Mathematics Trust.
- Group theory via Rubiks Cube - Maple has a group theory package which may be used to generate and manipulate finite groups. This is an application of Maple's group package which answers various questions about the small Rubik's cube.
- 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.
- 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.
- Laboratoire Amiénois de Mathématiques Fondamentale et Appliquée - In the "Laboratoire Amiénois de Mathématiques Fondamentale et Appliquée" (UPRES-A 6119 of CNRS) work the mathematicians of the Picardie-Jules-Verne University. The LAMFA has six research groups: Group theory, Applied analysis, the statistics group, the discrete mathematics group, the algebra and number theory group and the categoricians.
- 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.
- ATLAS of Finite Group Representations - Representations of many finite simple groups and related groups such as covering groups and automorphism groups of simple groups. Available by FTP in alternative formats: Meataxe ASCII, Meataxe binary, and GAP.
- Open Problems in Group Theory - Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.
- ArXiv Front: GR Group Theory - Group theory section of the mathematics e-print arXiv.
- 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.
Wikipedia Articles
- Representation theory of the Poincaré group - In mathematics, the representation theory of the double cover of the Poincaré group is an example of the theory for a Lie group, in a case that is neither a compact group nor a semisimple group. It is important in relation with theoretical physics.
- Muted group theory - Muted Group Theory developed out of the cultural anthropology field, but more recently has been developed in communication mostly as a feminist and cross-cultural theory. Muted group theory helps explain communication patterns and social representation of non-dominant cultural groups.
- Baumslag-Solitar group - In the mathematical field of group theory, the Baumslag–Solitar groups are examples of two-generator one-relator groups that play an important role in combinatorial group theory and geometric group theory as (counter)examples and test-cases. They are given by the group presentation
- Representation theory of the symmetric group - In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete and detailed theory can be obtained. This has a large area of potential applications, from symmetric function theory to problems of quantum mechanics for a number of identical particles.
- Galois theory - In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is in some sense simpler and better understood.