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Group theory section of the mathematics e-print arXiv.
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GR Group Theory Dense subsets of boundaries of CAT(0) groups. Tetsuya Hosaka. 171025-3. GR (GT 25 Oct math.GR/0510510 On the center of a Coxeter group. Tetsuya Hosaka. 171025-2. GR. 25 Oct math.GR/0510509 On fixed-point sets in the boundary of a CAT(0) space. Tetsuya...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.
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Group Pub Forum Home Page The reason for the name is that the spirit is supposed to be that of a conversation in a pub at a group theory conference. The mailing list is a private list. To join it go here....Table of contents only; draft chapters can be downloaded by arrangement.
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TOPOLOGICAL METHODS IN GROUP THEORY This book is finished and will shortly (9/05) be sent to the publisher. From the Introduction This is a book about the interplay between algebraic topology and the theory of infinite discrete groups. I have written it for three kinds...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
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Coxeter/Weyl Tutorial This document provides a step-by-step introduction to the use of Version 2.1 of coxeter and weyl, a pair of Maple packages for working with root systems, finite Coxeter groups and Weyl characters. The latest versions of these packages, along with...A worksheet by W.D. Joyner.
http://web.usna.navy.mil/~wdj/symm_gp.html
Group theory in: Robotics, Problem-Solving, Planning, Learning, Language, Perception, Art, Design, Engineering, Manufacturing, Epistemology, Measurement, Computation, Neuroscience, Anthropology, Semiotics.
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International Society for Group Theory in Cognitive Science Theory has emerged as a powerful tool for analyzing cognitive structure. The number of cognitive disciplines using group theory is now enormous. The power of group theory lies in its ability to identify organization, and to express organization in terms...Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64.
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On this web page we present the data from the first run of the computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64. to see the results of the second run click here All...GAP is a free system for computational discrete algebra.
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GAP System for Computational Discrete Algebra P is a system for computational discrete algebra, with particular emphasis on ComputationalGroupTheory. GAP provides a programminglanguage, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large datalibraries of algebraic objects. See...Bibliography, meetings.
http://cicma.mathstat.concordia....a/faculty/cummins/moonshine.html
Compiled by Peter Cameron.
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Permutation Group Problems These are research problems containing notes and references to solutions if they exist. There is also a list of old problems from my homepage; if you are interested in exercises on permutation groups, there are many in my book, and...Directory of home pages and conferences maintained at Southampton University.
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Semigroup Theory I am maintaining a directory of Semigroup Theorists. Conferences International Conference on Semigroups and Languages In Honour of the 65th birthday of Donald B. McAlister July 12, 13, 14 and 15, 2005, CENTRO DE ÁLGEBRA DA UNIVERSIDADE DE LISBOA, Lisboa,...Web-based resources for permutation groups and related areas in group theory and combinatorics.
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Permutation groups resources Permutation groups resources This page includes pointers to Web-based resources for permutation groups and related topics in group theory, combinatorics, etc. We need your help. Please email me (p.j.cameron(at)qmul.ac.uk) to suggest inclusions in our list. Or email comments about the...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
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.
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The Dog School of Mathematics Presents This is intended to be an introduction to Group Theory. My hope is to provide a clear passage to understanding introductory group theory. The project will expand as time goes by. The chapters so far are: Introduction to Group Theory...Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
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Papers by R. E. Borcherds X files of papers and preprints by R. E. Borcherds tex dvi pdf A monster Lie algebra with J. H. Conway, L. Queen and N. J. A. Sloane Adv. Math. 53 (1984) 75-79. tex dvi pdf The Leech lattice and...Parametrisation of trinomials with Galois groups contained in the simple group G168.
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Trinomials with interesting Galois groups Trinomials with interesting Galois groups Trinomials axn+bx+c with interesting Galois groups In 1969 Trinks discovered that the irreducible trinomial x7 7 x 3, factored modulo small primes (other than the primes 3 and 7 dividing its discriminant 218 always yielded...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.
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Binary Coordinate Systems Finite automorphism groups of algebraic, geometric, or combinatorial structures. Secondary: 05B25, Finite geometries; 51E20, Combinatorial structures in finite projective spaces. This article tells how to visualize some low-dimensional vector spaces over the finite field F2 as square or cubical arrays...Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP.
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Parallel GAP/MPI (ParGAP/MPI) This package works only under UNIX Cygwin is an option on Windows, but you will have to port it, then The most recent version of this package can always be found in the ParGAP ftp directory. You can also find...Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.
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Open Problems in Group Theory Problems in combinatorial and geometric group theory This page has been accessed times since 10/16/97. We have collected here over 150 open problems in combinatorial group theory, and we invite the mathematical community to submit more problems as well as...A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard.
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Broue's Abelian Defect Group Conjecture The main purpose of these pages is to keep an up-to-date record of which groups and blocks have been proved to satisfy the conjecture. This is very much a first draft, and I would very much appreciate any corrections and...Some presentations of groups (symmetric or otherwise).
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Research I study symmetric presentations. If you don't know what a group is then click here for a definition. If the reader seeks a representation of a group, then he should refer to the ATLAS of group representations which is maintained...Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
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GROUP ACTION FORUM Foruman international mathematical association...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.
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New York Group Theory Cooperative ...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.
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Jonathan Goss The symmetry pages have moved. Last modified: Wed Jan 10 10:04:59 GMT 2001...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.
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World of Groups Algebra project includes a list of open problems in combinatorial group theory, a list of personal web pages, a list of conferences and seminars, and a list of useful links. If you would like to see some other information posted...On-line book by Prederic Cvitanovic. Available both in 'psd' and 'ps' formats.
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Group Theory P. Cvitanovic ...Publication: An Introduction to the Lie Algebras su(N). By Walter Pfeifer, Switzerland. A free copy can be ordered.
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The Lie algebras su(N an introduction This is a textbook written by Walter Pfeifer 2003 A free copy can be ordered from mailbox walterpfeifer.ch please type the email address joined together, without spaces. Please use Lie algebras as subject You will obtain an email with the...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.
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Computational Tools for Group Theory This web site is a repository for my thesis and all of the work created and presented to the faculty. The work was performed over a one year period while a graduate student in the Computer Science department of San...The abstract group concept. Material based on lectures by Peter Neumann.
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Abstract groups The abstract group concept Algebra index HistoryTopicsIndex Version for printing This article is based on a lecture given by Peter Neumann (a son of Bernhard Neumann and Hanna Neumann) at a conference at the University of Sussex on 19 March...