21. Open Problems In Group Theory Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.Category Science Math Algebra group theory......Open Problems in combinatorial and geometric group theory This pagehas been accessed times since 10/16/97. We have collected here http://zebra.sci.ccny.cuny.edu/web/nygtc/problems/

Open 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 comments, suggestions, and/or criticism. Please send us e-mail at sphynx@rio.sci.ccny.cuny.edu This collection of problems has been selected by G.Baumslag, A.Miasnikov and V.Shpilrain with the help of several members and friends of the New York Group Theory Cooperative. In particular, we are grateful to G.Bergman G.Conner W.Dicks R.Gilman ... I.Kapovich , V. Remeslennikov, V.Roman'kov E.Ventura and D.Wise for useful comments and discussions. Our policy Hall of Fame We have arranged the problems under the following headings: Outstanding Problems Free groups One-relator groups Finitely presented groups ... Algorithmic problems Periodic groups (under construction) Groujps of matrices Hyperbolic and automatic groups Nilpotent groups Metabelian groups ... Group actions

22. International Society For Group Theory In Cognitive Science group theory in Robotics, Problem-Solving, Planning, Learning, Language, Category Science Math Algebra group theory......GTCS. International Society for. group theory in Cognitive Science. BB.Society President Michael Leyton (USA). Eloise group theory in Robotics http://www.rci.rutgers.edu/~mleyton/GT.htm

GT-CS International Society for Group Theory in Cognitive Science BB Society President: Michael Leyton (USA) Eloise Carlton (USA), Vladimir Dorodnitsyn (Russia), Roy Eagleson (Canada), Athanassios Economou (USA), Mario Ferraro (Italy), Victor Finn (Russia), Nathaniel Friedman (USA), Ted Goranson (USA), Bill Hammel (USA), Slavik Jablan (Jugoslavia), Vladimir Koptsik (Russia), Joan Lasenby (UK), Yanxi Liu (USA), Guerino Mazzola (Switzerland), Denes Nagy (Japan), Thomas Noll (Germany), Frank Park (Korea), Jean Petitot (France), Vladimir Petrov (Russia), Robin Popplestone (USA), Robert Rosen (Canada), Charles Schmidt (USA), Barry Smith (USA), George Stiny (USA), Alexander Voloshinov (Russia), Dorothy Washburn (USA)

23. TOPOLOGICAL METHODS IN GROUP THEORY TOPOLOGICAL METHODS IN group theory. by Ross Geoghegan. CHAPTER 4 Homological grouptheory and ends of covering spaces. 4.1 Homology and cohomology of groups http://www.math.binghamton.edu/ross/contents.html

TOPOLOGICAL METHODS IN GROUP THEORY by Ross Geoghegan This book is reasonably near completion. 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 of readers. First, it is for graduate students who have had an introductory course in algebraic topology and who need a bridge from common knowledge to the current research literature in geometric and homological group theory. Secondly, I am writing for group theorists who would like to know more about the topological side of their subject but who have been too long away from topology. Thirdly, I hope the book will be useful to manifold topologists, both high- and low-dimensional, as a reference source for basic material on proper homotopy and homology..." TABLE OF CONTENTS (draft chapters can be downloaded by arrangement) CHAPTER 1: CW complexes and cellular homology 1.1 Review of general topology 1.2 CW complexes 1.3 Homotopy 1.4 Maps between CW complexes 1.5 Review of chain complexes

24. Higher Dimensional Group Theory An article on how the theory of abstract groups may be generalised to higher dimensions than 1 by Category Science Math Topology Algebraic Topology......Last updated Feb 1, 1999. Higher Dimensional group theory. by RonaldBrown. Aims. The Understanding of some phenomena in group theory. There http://www.bangor.ac.uk/~mas010/hdaweb2.htm

Last updated Feb 1, 1999 Higher Dimensional Group Theory by Ronald Brown Aims The term Higher Dimensional Group Theory was introduced in . The aim of this paper is to give a broad account of the background to the idea without much technical detail, so that it can be read by a wide audience. The technical side is contained in the references given throughout, and the subject can be explored in the accompanying bibliography on 'Publications on groupoids and non linear homological and homotopical algebra' . This was initially built up for a research grant application, and then was directed at publications which referred to or were related to work at Bangor in these areas. It is now a suitable time to extend it, and suggestions would be welcomed. I am developing a page on one aspect, the non abelian tensor product of groups . It is interesting that this construction, which can be seen as basic in group theory because of its relation to commutator theory, is also but a fragment of the general approach in terms of higher dimensional group theory. In some places I have been speculative on the potential for this theory, on the grounds that this has to be done to make big conceptual gains or leaps, and to decide in what direction the theory might go next. These speculations also give some idea of the character of the theory.

25. GROUP THEORY LINKS The Net Advance of Physics group theory AND ALGEBRA. ALGEBRAS General Noteson Ring Theory, by David Rusin. group theory GENERAL AND http://web.mit.edu/afs/athena.mit.edu/user/r/e/redingtn/www/netadv/groups.html

The Net Advance of Physics: GROUP THEORY AND ALGEBRA ALGEBRAS: General and Various Division Hopf ... Unitary Abstract Algebra: GENERAL AND VARIOUS: Catalogue of Algebraic Systems, edited by John Pedersen Abstract Algebra II, by John A. Beachy Free online graduate-level textbook. DIVISION ALGEBRAS (CLIFFORD ALGEBRAS, QUATERNIONS): Division Algebra FAQ, by David Rusin, 95/02 Geometric Algebra and its Application to Mathematical Physics, by Chris Doran, (Ph. D. thesis), 1994 Division Algebras, Sphere Algebras and Twistors, by Martin Cederwall, 93/10 Introduction to Geometric Algebra, by Stephen Gull, A. N. Lasenby, and Chris Doran, 93/02 ... CLICAL and Hypercomplex Numbers Homepage, by Pertti Lounesto Includes the hypercomplex algebra computer program CLICAL. Letters concerning the Invention of Quaternions, by Sir Wm. R. Hamilton The Theory of Extension (excerpts), by Hermann Grassmann Translated by Desmond Fearnley-Sander NET ADVANCE OF PHYSICS:Spin and Spinors GRASSMANN ALGEBRA: The Theory of Extension (excerpts), by Hermann Grassmann Translated by Desmond Fearnley-Sander Hermann Grassmann and the Creation of Linear Algebra, by Desmond Fearnley-Sander, 1979

26. International Conference On Group Theory, Gaeta 2003, Home Page International Conference on group theory combinatorial, geometric, and dynamicalaspects of infinite groups, Gaeta, Italy, 16 June 2003; Groups Combinatorics http://www.math.kth.se/~gaeta

International Conference on GROUP THEORY: combinatorial, geometric, and dynamical aspects of infinite groups 1-6 June 2003 Gaeta , Italy The organisers would like to dedicate the conference to Slava Grigorchuk on the occasion of his 50-th birthday NEW! Hotel reservations The purpose of the meeting is to bring together leading experts and younger researchers to discuss recent developements concerning combinatorial, geometric and dynamical aspects of Group Theory. In particular, the conference will focus on: geometric group theory; ergodic theory; groups acting on trees and boundaries; random walks; amenability; growth of groups, languages, and automata; groups and fractals; L^2-cohomology; bounded cohomology; branch groups; groups generated by finite automata; calculus of spectra; problems of Burnside type; combinatorics of words. Pleanary Speakers Dmitry Anosov (Steklov Institute, Moscow) Gilbert Baumslag (City University, New York) Marc Burger Hillel Furstenberg (Hebrew University, Jerusalem) Etienne Ghys (ENS Lyon) Rostislav Grigorchuk Michael Gromov (IHES, Paris)

27. Group Theory - P. Cvitanovic http://www.nbi.dk/GroupTheory/

28. Predrag Cvitanovic´ Group Theory Publications Predrag Cvitanovic´ group theory publications. citation counts on SPIRES Grouptheory for Feynman diagrams in nonAbelian gauge theories, Phys. Rev. http://www.nbi.dk/~predrag/papers/preprGT.html

overview [28 Nov 1998] citation counts on SPIRES Group theory for Feynman diagrams in non-Abelian gauge theories Phys. Rev. citations on SPIRES Classical and exceptional Lie algebras as invariance algebras, Oxford preprint 40/77 (June, 1977) (unpublished) Negative dimensions and E_7 symmetry, Nucl. Phys. The cross-over points in lattice gauge theories with continuous gauge groups (with J. Greensite and B. Lautrup), Phys. Lett. Spinors in negative dimensions (with A.D. Kennedy), Phys. Scripta computer implementation Quantum field theory Field theory book Group theory ... predrag@nbi.dk Aug 30 2002

29. Group Theory -- From MathWorld group theory, Arfken, G. Introduction to group theory. §4.8 in Mathematical Methodsfor Physicists, 3rd ed. Orlando, FL Academic Press, pp. 237276, 1985. http://mathworld.wolfram.com/GroupTheory.html

Algebra Group Theory General Group Theory Group Theory The study of groups Gauss developed but did not publish parts of the mathematics of group theory, but Galois is generally considered to have been the first to develop the theory. Group theory is a powerful formal method for analyzing abstract and physical systems in which symmetry is present and has surprising importance in physics, especially quantum mechanics Finite Group Group Higher Dimensional Group Theory ... Symmetry References Alperin, J. L. and Bell, R. B. Groups and Representations. New York: Springer-Verlag, 1995. Arfken, G. "Introduction to Group Theory." §4.8 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 237-276, 1985. Burnside, W. Theory of Groups of Finite Order, 2nd ed. New York: Dover, 1955. Burrow, M. Representation Theory of Finite Groups. New York: Dover, 1993. Carmichael, R. D. Introduction to the Theory of Groups of Finite Order. New York: Dover, 1956. Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups.

30. The Math Forum - Math Library - Group Theory This page contains sites relating to group theory. Browse and Search theLibrary Home Math Topics Algebra Modern Algebra group theory. http://mathforum.org/library/topics/group_theory/

Browse and Search the Library Home Math Topics Algebra Modern Algebra : Group Theory Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category The Development of Group Theory - MacTutor Math History Archives Linked essay describing the rise and progress of group theory from the 18th through the 19th centuries, with references (books/articles). more>> GR Group Theory (Front for the Mathematics ArXiv) - Univ. of California, Davis Group Theory preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. more>> Group Pub Forum - G. C. Smith The community pages for discussing any aspect of Group Theory, the mathematics of symmetry. Group Theory is a branch of algebra, but has strong connections with almost all parts of mathematics. Announcements, books and journals, conference information, archive of GPF email, mathematical resources, research announcements, and the Group Pub Forum Problem Book,

31. More Group Theory? a topic from mathteach More group theory? post a message on this topicpost a message on a new topic 27 Dec 2002 More group theory http://mathforum.org/epigone/math-teach/jeikhimpdwou

a topic from math-teach More group theory? post a message on this topic post a message on a new topic 27 Dec 2002 More group theory? , by Kirby Urner 27 Dec 2002 Re: More group theory? , by Kirby Urner 27 Dec 2002 Re: More group theory? , by Kirby Urner 28 Dec 2002 Re: More group theory? , by jpleroy 28 Dec 2002 Re: More group theory? , by Kirby Urner 30 Dec 2002 Re: More group theory? , by Greg Matheson 30 Dec 2002 Re: More group theory? , by Kirby Urner 6 Jan 2003 Re: More group theory? , by Greg Matheson The Math Forum

32. Group Theory Seminar UNIVERSITY OF CHICAGO Department of Mathematics group theory SEMINAR Thursdays,E 203, 430. Jan. 16 Y. Barnea Hausdorff dimensions and the Nottingham group . http://www.math.uchicago.edu/seminars/group_theory.html

UNIVERSITY OF CHICAGO Department of Mathematics GROUP THEORY SEMINAR Thursdays, E 203, 4:30 Apr. 3 No meeting Apr. 15 TUESDAY, 4:00, E308 TBA "TBA" Apr. 17 G. Schwartz "Reductions for Dade's conjectures" Apr. 24 E. Adan-Bante "TBA" May 1 M. Isaacs "TBA" May 8 J. Carlson "TBA" May 15 TBA "TBA" May 16, May 20, May 22 Albert Lectures May 29 TBA "TBA" Past Seminars

33. Schur Group Theory Software A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.Category Science Math Algebra Software......Schur group theory Software. by Brian G. Wybourne. Wybourne's Home Pagewith lots more about group theory and Schur. Version Schur 5.3.1. http://smc.vnet.net/Schur.html

Schur Group Theory Software by Brian G. Wybourne An Interactive Program For Calculating Properties Of Lie Groups and Symmetric Functions Wybourne's Home Page with lots more about Group Theory and Schur Version Schur 5.3.1 Functions to treat non-compact groups. Now over 160 functions. Updated manual - now over 220 pages. Platforms currently supported: Intel-compatible PC's (DOS or DOS Window under Windows 3.1, 95, 98, NT, 2000 ) Sun SPARC (Solaris 2.5-8) Intel-compatible PC's (Solaris 2.6-8) Intel-compatible PC's (Red Hat Linux) We expect to have a Max OS X release soon. Pricing and Ordering For details of pricing and ordering go to Contact Information. What is Schur? Schur is a stand alone C program for interactively calculating properties of Lie groups and symmetric functions. Schur has been designed to answer questions of relevance to a wide range of problems of special interest to chemists, mathematicians and physicists - particularly for persons who need specific knowledge relating to some aspect of Lie groups or symmetric functions and yet do not wish to be encumbered with complex algorithms. The objective of Schur is to supply results with the complexity of the algorithms hidden from view so that the user can effectively use Schur as a scratch pad, obtaining a result and then using that result to derive new results in a fully interactive manner. Schur can be used as a tool for calculating branching rules, Kronecker products, Casimir invariants, dimensions, plethysms, S-function operations, Young diagrams and their hook lengths etc.

34. Group Theory group theory. see also group theory. Alexandroff, PS Introduction to GroupTheory. 717 p. $?. Biggs, Norman. Algebraic group theory, 2nd ed. 205 p. http://www.ericweisstein.com/encyclopedias/books/GroupTheory.html

Group Theory see also Group Theory Alexandroff, P.S. Introduction to Group Theory. Deutscher Verlag der Wissenschaften, 1954. Alperin, J.L. and Bell, Rowen B. Groups and Representations. New York: Springer-Verlag, 1995. 194 p. $49.95. Armstrong, Mark Anthony. Groups and Symmetry. New York: Springer-Verlag, 1988. 186 p. $39.95. Artin, Emil and Milgram, Arthur N. Galois Theory: Lectures Deilivered at the University of Notre Dame. New York: Dover. 86 p. $5.95. Aschbacher, Michael. Finite Group Theory, 2nd ed. Cambridge, England: Cambridge University Press, 2000. 304 p. $?. Aschbacher, Michael. Sporadic Groups. Cambridge, England: Cambridge University Press, 1994. 314 p. $49.95. Aschbacher, Michael. The Finite Simple Groups and Their Classification. New Haven, CT: Yale University Press, 1980. 61 p. $13. Barut, Asim Orhan and Raczka, Ryszard. Theory of Group Representations and Applications, 2nd rev.ed. Singapore: World Scientific, 1986. 717 p. $?. Biggs, Norman. Algebraic Group Theory, 2nd ed. 205 p.

35. Group Theory Authors/titles Recent Submissions group theory. Title A property of alternating groups Authors Henry Cejtin,Igor Rivin Subjclass group theory MSC-class 20B35; 20B40 http://arxiv.org/list/math.GR/recent

Group Theory Authors and titles for recent submissions Tue, 18 Mar 2003 Fri, 14 Mar 2003 Thu, 13 Mar 2003 Wed, 12 Mar 2003 ... Thu, 6 Mar 2003 Tue, 18 Mar 2003 math.GR/0303187 abs ps pdf other Title: Dickson invariants, regularity and computation in group cohomology Authors: David Benson Subj-class: Group Theory; Commutative Algebra; Rings and Algebras MSC-class: Fri, 14 Mar 2003 math.GR/0303165 abs ps pdf other Title: Engel-like Identities Characterizing Finite Solvable Groups Authors: Tatiana Bandman Gert-Martin Greuel Fritz Grunewald Boris Kunyavskii ... Eugene Plotkin Comments: 63 pages, LateX Subj-class: Group Theory MSC-class: 20F16 (Primary) 20E34,14Gxx,14-04 (Secondary) Thu, 13 Mar 2003 math.GR/0303133 abs ps pdf other Title: Tits boundary of CAT(0) 2-complexes Authors: Xiangdong Xie Comments: 26 pages Subj-class: Group Theory; Geometric Topology MSC-class: Primary 20F67, 20F65; Secondary 57M20, 53C20 Wed, 12 Mar 2003 math.GR/0303131 abs ps pdf other Title: Tits alternative for closed real analytic 4-manifolds of nonpositive curvature Authors: Xiangdong Xie Comments: 26 pages Subj-class: Group Theory; Differential Geometry

36. Group Theory Authors/titles Jan 2003 group theory. Title The large scale geometry of some metabelian groups AuthorsJ. Taback, K. Whyte Subjclass Geometric Topology; group theory http://arxiv.org/list/math.GR/0301

Group Theory Authors and titles for Jan 2003 math.GT/0301056 abs ps pdf other Title: CAT(0) is an algorithmic property Authors: Murray Elder (Tufts U.), Jon McCammond (UC Santa Barbara) Comments: (23 pages) To appear in Geometriae Dedicata Subj-class: Geometric Topology; Group Theory MSC-class: math.GT/0301057 abs ps pdf other Title: Combinatorial conditions that imply word-hyperbolicity for 3-manifolds Authors: Murray Elder (Tufts U.), Jon McCammond (UC Santa Barbara), John Meier (Lafayette C.) Comments: (21 pages) To appear in Topology Subj-class: Geometric Topology; Group Theory MSC-class: math.GT/0301071 abs ps pdf other Title: On automorphism groups of free products of finite groups, I: Proper Actions Authors: Yuqing Chen Henry Glover Craig Jensen Subj-class: Geometric Topology; Group Theory MSC-class: math.GR/0301078 abs ps pdf other Title: Groups of prime-power order with a small second derived quotient Authors: Csaba Schneider Comments: 16 pages Subj-class: Group Theory MSC-class: math.AT/0301084 abs ps pdf other Title: Construction of 2-local finite groups of a type studied by Solomon and Benson Authors: Ran Levi Bob Oliver Comments: Published in Geometry and Topology at this http URL Subj-class: Algebraic Topology; Group Theory

37. Laboratory Experiences In Group Theory Laboratory Experiences in group theory. Ellen Maycock Parker. A lab manual and accompanyingsoftware for introductory courses in group theory or abstract algebra. http://www.maa.org/pubs/books/labe.html

Laboratory Experiences in Group Theory Ellen Maycock Parker A lab manual and accompanying software for introductory courses in group theory or abstract algebra ...a useful adjunct to lectures and homework for a first course in higher algebra...The accompanying diskette contains an efficient table checker...The software is easy to use. Math Reviews With an attractive price and simple interface, this package is highly recommended. It will do much to make the learning and teaching of basic group theory an easier operation. -Journal of Recreational Mathematics Laboratory Experiences in Group Theory is a workbook of 15 laboratories designed to be used with the software Exploring Small Groups as a supplement to the regular textbook in an introductory course in group theory or abstract algebra. Written in a step-by-step manner, the laboratories encourage students to discover the basic concepts of group theory and to make conjectures from examples that are easily generated by the software. The labs can be assigned as outside work or they can be used in a structured laboratory setting. Since the software is very user-friendly and the laboratories are complete, students and faculty should have no difficulty in using the labs without training. Most students find the laboratory component of this course to be an enjoyable alternative to the "theorem-proof-example" format of a standard abstract algebra course.

38. Read This: Adventures In Group Theory Read This! The MAA Online book review column review of Adventures in GroupTheory, by David Joyner. Chapter 5 An introduction to group theory. http://www.maa.org/reviews/joynergroups.html

Read This! The MAA Online book review column Adventures in Group Theory by David Joyner Reviewed by Donald L. Vestal Adventures in Group Theory is a tour through the algebra of several "permutation puzzles." Although the main focus is on the Rubik's Cube, several other puzzles are explored to a lesser degree. Joyner pulls together a great deal of information about the mathematics of the Rubik's Cube from various sources and mixes it with a lot of algebra. (And I mean a lot!) The book has the following layout: Chapter 1 An introduction to Boolean algebra, logic, and the basic moves of the Rubik's cube (using the Singmaster notation: U D L R F B). Chapter 2 Functions, Cartesian products, vector spaces, matrices, determinants, relations and equivalence classes, and some basic combinatorics. Chapter 3 Permutations, signs of permutations, permutation matrices (a little on permutations of the edges of the Rubik's cube), and the symmetry groups S n Chapter 4 Permutation puzzles are introduced: Sam Loyd's 15 puzzle , the Hockeypuck puzzle , the Rainbow Masterball , the Pyraminx , the 2x2 and 3x3 Rubik's Cube , the Skewb , the Megaminx , and several others.

39. Group Theory (Home) Introduction to group theory. This Web page is an introduction to the basics ofgroup theory, based upon Professor BE Mann's CHM 313 course run in 1998/99. http://www.chem.shef.ac.uk/ug/cha96mch/

Introduction to Group Theory This Web page is an introduction to the basics of Group Theory, based upon Professor B.E. Mann's CHM 313 course run in 1998/99. It comprises a brief tutorial of the important points covered by the course, with a list of Group Tables and a flowchart designed to aid the determination of a molecule's point group. Tutorial Part 1 - Symmetry Operations Tutorial Part 2 - Point Groups Tutorial Part 3 - Use of Group Tables Tutorial Part 4 - Vibrational Spectroscopy Tutorial Exercises Point Group Flow Chart List of Group Tables Automatic Representation Reducing Utility ... Credits and Acknowledgements Author: Mike Hammond, University of Sheffield Department of Chemistry. Last Modified: 12 th April 2000.

40. 3rd Postgraduate Group Theory Conference 2001 Department of Mathematics, Imperial College, London; 1820 April 2001.Category Science Math Algebra Conferences Past Conferences......3rd Postgraduate group theory Conference Department of Mathematics, ImperialCollege, London April 18 20, 2001. Invited Guest Speakers Prof. http://www.ma.ic.ac.uk/~jtf98/pggtc2001/

3rd Postgraduate Group Theory Conference Department of Mathematics, Imperial College, London April 18 - 20, 2001 Invited Guest Speakers: Prof. Roger Carter (University of Warwick) Prof. Dan Segal (All Souls College, Oxford University) GENEROUSLY SUPPORTED BY

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