41. Eamonn O'Brien The Small Groups page has detailed information on the group construction project. An excellent group theory discussion group is. The Group Pub Forum http://www.math.auckland.ac.nz/~obrien/

Eamonn O'Brien Research Interests Teaching Papers Algebra database (BibTeX) ... obrien@math.auckland.ac.nz I'm a Professor of Mathematics in the Department of Mathematics University of Auckland Private Bag 92019 Auckland New Zealand Phone: +64-(0)9-373 7599 Ext 88819 (Office) FAX: +64-(0)9-373 7457 I was a Director of the NZIMA Program in Geometry. I am a member of the Editorial Boards of the Journal of Algebra (Computational Section) Journal of the Australian Mathematical Society The Small Groups page has detailed information on the group construction project. You may be interested in detailed notes on the groups with order p^7, p an odd prime. The Sporadic Groups in Magma page provides Magma language files for much of the material on sporadic groups available on the Atlas of Finite Group Representation An excellent group theory discussion group is: The Group Pub Forum To return to the Wider Web World, click on Mathematics Department Home Page Last updated February 2008 This site has been optimised for a screen resolution of 800*600 pixels

42. GAP System For Computational Discrete Algebra GAP is a system for computational discrete algebra, with particular emphasis on Computational group theory. GAP provides a programming language, http://www-gap.mcs.st-and.ac.uk/

@import url(lib/gw.css); GAP Main Branches Download Overview Data Libraries Packages ... Sitemap Navigation Tree Start Download Overview Data Libraries ... GAP 3 Quicklinks Site Structure Search Web Site Capabilities Manuals ... References Welcome to GAP - Groups, Algorithms, Programming - a System for Computational Discrete Algebra What is GAP? GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language , a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the mathematical capabilities . GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more. The system, including source, is distributed freely . You can study and easily modify or extend it for your special use. The current release is GAP 4.4.10. The pages of this web site describe this release if not stated otherwise. The webpage

43. IPAM - Automorphic Forms, Group Theory And Graph Expansion Beside its intrinsic interest, this may have applications to group theory. It was already observed that this product is closely connected to semidirect http://www.ipam.ucla.edu/programs/agg2004/

Automorphic Forms, Group Theory and Graph Expansion February 9 - 13, 2004 Schedule and Presentations Program Poster PDF Pictures Problems Collected at the Workshop Organizing Committee William Kantor (University of Oregon) Alexander Lubotzky (Hebrew University, Jerusalem, Israel) Jon Rogawski (UCLA) Audrey Terras (University of California at San Diego) Avi Wigderson (Institute for Advanced Studies, Princeton) Scientific Background In recent years, new and important connections have emerged between discrete subgroups of Lie groups, automorphic forms and arithmetic on the one hand, and questions in discrete mathematics, combinatorics, and graph theory on the other. One of the first examples of this interaction was the explicit construction of expanders (regular graphs with a high degree of connectedness) via Kazhdan's property T or via Selberg's theorem (lambda Topics to be included are: I. Ramanujan Complexes In the 1980's, results from the theory of automorphic forms were used to construct explicit families of Ramanujan graphs, that is, graphs for which Laplace eigenvalues satisfy strong inequalities. These constructions led to the solution of several long-standing problems in graph theory. The graphs themselves are constructed group-theoretically, as quotients of infinite regular trees (the Bruhat-Tits building) by arithmetic subgroups of the p-adic group SL (Q p ) arising from quaternion algebras. Proving that they have the Ramanujan property requires deep results from arithmetic and the automorphic forms. One uses the Jacquet-Langlands correspondence from the theory of automorphic forms to transport the problem to GL(2) and then invokes arithmetical results (work of Eichler and Deligne on the Ramanujan conjecture for classical modular forms). Work on the mixed case SL

44. PGTC 2007 Postgraduate group theory Conference 2007. The 9th Annual Postgraduate group theory Conference was held at the Centre for Mathematical Sciences at the http://www.pgtc2007.org/

Postgraduate Group Theory Conference 2007 Front page Speakers Participants ... Contact Welcome to the PGTC website The 9th Annual Postgraduate Group Theory Conference was held at the Centre for Mathematical Sciences at the University of Cambridge between Wednesday 11th of April and Friday 13th of April, 2007. We gratefully acknowledge the support of the London Mathematical Society The PGTC is a student-organised conference, giving graduate students in group theory and related areas from across the UK a chance to present their research, as well as to find out about the research of others. It also provides an opportunity to meet and get to know other students, by means of a number of social events. Every participant is encouraged to give a short talk about their work, although this is optional. In previous years, the conference was held at: University of Southampton, 2006 University of Newcastle, 2005 University of Warwick, 2004 University of Oxford, 2003 University of Birmingham, 2002 Imperial College, 2001 Queen Mary and Westfield College, 2000

45. A Little More Group Theory | Musings Read the post A Little group theory Weblog Musings Excerpt Mania in the physics blogosphere. Tracked December 10, 2007 734 AM http://golem.ph.utexas.edu/~distler/blog/archives/001532.html

@import url("/~distler/blog/styles-site.css"); Musings Thoughts on Science, Computing, and Life on Earth. Skip to the Main Content Enough, already! Skip to the content. Note: These pages make extensive use of the latest XHTML and CSS Standards only supported in Mozilla. My best suggestion (and you will thank me when surfing an ever-increasing number of sites on the web which have been crafted to use the new standards) is to upgrade to the latest version of your browser. If that's not possible, consider moving to the Standards-compliant and open-source Mozilla browser. Main December 9, 2007 A Little More Group Theory With a certain reluctance, I wrote a post Theory of Everything E G SL SU SU U Y in some noncompact form of E as it turns out , the split real form, E ), such that the 248 contains 3 copies of R where is the SU SU U Y representation Note that is a complex representation. So R , though a real representation of G , is chiral I showed that it is impossible to find an embedding of G , which yields 3 copies of R even rise to the level of impressive numerology. thinking that this would be enough to settle the matter in the mind of anyone with even a modicum Apparently

46. C. F. Miller III - Some Papers Etc Miller, C. F., Decision problems for groups survey and reflections, in Algorithms and Classification in Combinatorial group theory (eds. http://www.ms.unimelb.edu.au/~cfm/papers.html

PDFs of some of Chuck Miller's Papers and Notes The word problem in quotients of a group Miller, C. F. The word problem in quotients of a group, in Aspects of Effective Algebra, ed. J.N. Crossley, Proceedings of a conference at Monash University, August 1979, Upside Down A Book Company, Steel's Creek, (1981), 246-250. This paper was redone in TeX by the author with minimal alterations. See the postscript near the end concerning its history. Some odd finitely presented groups Baumslag, G and Miller, C. F., Some odd finitely presented groups , Bulletin of the London Math. Soc. Decision problems for groups: survey and reflections Miller, C. F., Decision problems for groups: survey and reflections, in Algorithms and Classification in Combinatorial Group Theory (eds. G Baumslag and C. F. Miller III), MSRI Publications No. , Springer-Verlag (1992), 1-59. Strongly torsion generated groups Berrick, A. J. and Miller, C. F., Strongly torsion generated groups , Math. Proc. Camb. Phil. Soc.

47. Harlaxton Conference 2008 Conference on Computational group theory and Cohomology Harlaxton College August 48, 2008. HARLAXTON MANOR Harlaxton Manor Grantham, Lincolnshire, UK http://rfmorse.evansville.edu/~morse/

Conference on Computational Group Theory and Cohomology Harlaxton College August 4-8, 2008 Harlaxton Manor Grantham, Lincolnshire, UK Conference Organizers Bettina Eick (Technische Universit¤t Braunschweig) Graham Ellis (National University of Ireland - Galway) Robert Morse (University of Evansville) Conference Schedule Participants Funding Travel Directions and Accomodations ... Contact Information

48. Combinatorial And Geometric Group Theory With Applications Combinatorial and Geometric group theory with Applications University of Dortmund, Germany - 27. to 31. August 2007. http://www.mathematik.uni-dortmund.de/~gcgta/

Description Description Program Registration Deadlines ... High resolution (300dpi, 11 MB) for printing - please download The conference will be devoted to a variety of topics in Geometric and Combinatorial Group Theory as well as to algorithmic and computational topics involving groups, with applications to cryptography. More specifically, this includes combinatorial, asymptotic and probablistic methods in group theory and algebraic cryptography, group actions, hyperbolicity, quasi-isometries, isoperimetric functions, growth, asymptothic invariants, random walks, algorithmic problems related to groups... To emphasise the 'Applications' of geometric and combinatorial group theory, and highlighting the very recent development regarding 'group based cryptography', we will devote one day of the workshop to this subject: August 29th will be the 'Cryptography day'. This conference is a sequel to the conference on "Geometric and Asymptotic Group Theory with Applications" that took place in Manresa (Barcelona) in 2006, see http://www.epsem.upc.edu/~gagta/main_en.shtml

49. PSU Math - Other Subject Area Pages More entries under group theory, Linear Algebra, and Semigroups. Algebraic Topology Algebraic Topology Discussion List (Lehigh) Handbook of Algebraic http://www.math.psu.edu/MathLists/Subject.html

50. ARCC Workshop: Dichotomy Amenable/Nonamenable In Combinatorial Group Theory The AIM Research Conference Center (ARCC) will host a focused workshop on Dichotomy Amenable/Nonamenable in Combinatorial group theory, October 8 to October http://aimath.org/ARCC/workshops/nonamenable.html

Dichotomy Amenable/Nonamenable in Combinatorial Group Theory October 8 to October 12, 2007 at the American Institute of Mathematics , Palo Alto, California organized by Tatiana Nagnibeda and Mark Sapir This workshop, sponsored by AIM and the NSF , will be devoted to various incarnations of the notion of amenability for a finitely generated group. The main goal of the workshop is to gain better understanding of the meaning of being amenable or nonamenable for a discrete, finitely generated group. Our attention will be concentrated on a certain number of concrete open problems about (non)amenability of groups with origins in very different areas of mathematics, and the workshop will bring together researchers from these diverse areas. The main topics of the workshop are the following. We also indicate some concrete questions which we are going to discuss during the workshop. Algebraic, geometric and probabilistic structure of amenable and nonamenable groups (is R. Thompson's group $F$ amenable? which groups generated by finite automata are amenable?); amenability of Golod-Shafarevich groups (Vershik's question: Is there a discrete amenable Golod-Shafarevich group?);

51. WinterSchool Geometric Group Theory Göttingen Winter School Geometric group theory in Göttingen December 12 – 15, 2007. Laurent Bartholdi (Lausanne) Groups acting on trees. Martin Bridson (Oxford) http://www.uni-math.gwdg.de/GeoGT/

Winter School Geometric Group Theory Laurent Bartholdi (Lausanne) Groups acting on trees Martin Bridson (Oxford) Non-positive curvature of groups Karen Vogtmann (Cornell) Cohomology of Out( F n CONTACT Sylvia Dingenotto for all enquiries PROGRAM LIST OF PARTICIPANTS TRAVEL INFORMATION Graduiertenkolleg Gruppen und Geometrie

52. McGraw-Hill's AccessScience group theory is the branch of mathematics devoted to the properties of groups. group theory has applications in many branches of physical sciences, http://www.accessscience.com/content.aspx?id=301400&expandType=5

53. Auburn Montgomery-AUM: Zassenhaus Group Theory Conference The Department of Mathematics with financial support from the AUM lectures program is pleased to be hosting the 2005 Zassenhaus group theory Conference on http://www.aum.edu/Zassenhaus/

Campus Maps People Finder Ask Auburn Montgomery Zassenhaus Group Theory Conference ... zassenhaus Zassenhaus Group Theory Conference ZASSENHAUS GROUP THEORY CONFERENCE Auburn University at Montgomery March 18-20, 2005 The Department of Mathematics with financial support from the AUM lectures program is pleased to be hosting the 2005 Zassenhaus Group Theory Conference on March 18-20, 2005 . This conference represents a continuation of the series of Ohio State-Denison Mathematics Conferences first organized in 1960's by Hans Zassenhaus, which are held in alternate years in Ohio, with the group-theorists meeting in the intervening years at various universities throughout the country. Recent conferences in this series: The XXVIIth Ohio State-Denison Mathematics Conference , June 11-13, 2004, The Ohio State University, Columbus, Ohio. 2003 Zassenhaus Group Theory Conference , March 14-16, 2003, University of Evansville, Evansville, IN. The XXVIth Ohio State-Denison Mathematics Conference 2001 Zassenhaus Group Theory Conference , January 4-7, 2001, New College of USF in Sarasota Florida. The XXVth Ohio State-Denison Mathematics Conference , May 18-21, 2000, The Ohio State University, Columbus, Ohio.

54. Peg Solitaire And Group Theory Peg Solitaire and group theory puzzle How group theory helps in understanding of peg solitaire. http://www.cut-the-knot.com/proofs/PegsAndGroups.shtml/

var MyPageLoc = document.location; var MyPageTitle = document.title; G o o g ... e Web CTK Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents Peg Solitaire and Group Theory Peg Solitaire (also known as Hi-Q) has very simple rules. Pegs (red circles) are allowed to jump over adjacent (vertically or horizontally) pegs. The peg that has been jumped over is removed. So jumps are like captures in Checkers. The goal of a regular game is to remove all pegs but one. In central solitaire , the player starts with pegs filling all the holes, except for the central one. According to the game brochure (Milton Bradley Co., 1986), whoever succeeds in leaving the last peg in the center is a genius . Anyone who leaves a single peg elsewhere is an outstanding player. Figure 1 Not long ago, with the help of very elementary group theory, Arie Bialostocki from University of Idaho proved that there are only five locations (b. above) where one can leave that single peg. Assuming that, e.g., that the peg was left in the rightmost hole, part c. in Figure 1 shows the position before the last move. The irony is in that from the same position the player can leave the sole remaining peg in the central hole, thus gaining the status of genius, instead of an outstanding player. Would one trade the distinction? It's this amazing observation that led Arie Bialostocki to developing his nice theory which I am going to outline below. Figure 2 Place letters x, y, z as shown in Figure 2a. The arrangement of letters is very special and has been noticed yet in the classic

55. Group Theory And Architecture, 2. The first was group theory and Architecture, 1. The purpose of these tutorials is to present, in an easy form, the technical theory developed in my http://www.mi.sanu.ac.yu/vismath/leyton4/tutorial_002_1.htm

Group Theory and Architecture, 2: Why Symmetry/Asymmetry? Professor Michael Leyton. Dept. of Psychology, Rutgers University Introduction This is the second in a sequence of tutorials on the mathematical structure of architecture. The first was Group Theory and Architecture, 1 . The purpose of these tutorials is to present, in an easy form, the technical theory developed in my forthcoming book on the mathematical structure of design. In this second tutorial we are going to look at the functional role of symmetry and asymmetry in architecture. We are all aware that classical architecture was dominated by symmetry. In contrast, we have seen, in the 20th century, a shift from the dominating role of symmetry to the gradual raising of asymmetry as the major principle. Famous examples of the latter include Frank Lloyd Wright's Falling Water , with its asymmetrically arranged blocks, or Eero Saarinen's TWA Building with its free form structure, or in the contemporary world, the Deconstructivist Architects are now the dominant force. The latter movement came into significant public recognition with the exhibition of their work in the Museum of Modern Art, New York, in1988, and these architects are now the most famous archictects in the world - usually winning the major architecture competitions. They include Peter Eisenman, Zaha Hadid, Frank Gehry, Coop Himmelblau, Rem Koolhaas, Daniel Libeskind, and Bernard Tschumi. In all their buildings

56. Group Theory Authors/titles Recent Submissions group theory. Authors and titles for recent submissions Subjects group theory (math.GR); Differential Geometry (math.DG). 3 arXiv0801.1862 ps, pdf, http://aps.arxiv.org/list/math.GR/recent

aps.arXiv.org math math.GR Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Group Theory Authors and titles for recent submissions Fri, 14 Mar 2008 Thu, 13 Mar 2008 Wed, 12 Mar 2008 Tue, 11 Mar 2008 ... Mon, 10 Mar 2008 [ total of 9 entries: [ showing up to 25 entries per page: fewer more Fri, 14 Mar 2008 arXiv:0803.1883 ps pdf other Title: The Minimal Degree for a Class of Finite Complex Reflection Groups Authors: Neil Saunders Comments: 16 pages License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Subjects: Group Theory (math.GR) Thu, 13 Mar 2008 arXiv:0803.1746 ps pdf other Title: Equivalences between fusion systems of finite groups of Lie type Authors: Carles Broto Bob Oliver Comments: 20 pages, uses diagrams.sty and xy-pic License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Subjects: Group Theory (math.GR) ; Algebraic Topology (math.AT) Wed, 12 Mar 2008 arXiv:0803.1612 pdf Title: Solution to the Burnside Problem Authors: Seymour Bachmuth Comments: 14 pages. Most results here were contained in two earlier ArXiv papers. Although this paper is self contained, these previous ones may be helpful License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

57. Fields Institute - Workshop In Asymptotic Group Theory And Cryptography The goal of this workshop is to bring top specialists in this area to Carleton to give talks that should be of use to researchers in group theory, http://www.fields.utoronto.ca/programs/scientific/07-08/asympotic/

Home About Us NPCDS/PNSDC Mathematics Education ... Search SCIENTIFIC PROGRAMS AND ACTIVITIES March 14, 2008 December 14-16, 2007 Fields Workshop in Asymptotic Group Theory and Cryptography at Carleton University ORGANIZERS: Olga Kharlampovich (McGill) and Inna Bumagin (Carleton). Registration fee $40 includes banquet and is payable on site. Talks will be held: Friday Dec 14: Carleton University, Herzberg Laboratories, Macphail room HP 4370 Saturday Dec 15 and Sunday Dec 16 Accommodation Resources in Ottawa A map of the Carleton Campus is available here. Directions to Carleton Accommodation Resources in Montreal ... Schedule OVERVIEW .The goal of this workshop is to bring top specialists in this area to Carleton to give talks that should be of use to researchers in group theory, computer science, complexity theory, low-dimensional topology, probability, analysis and related areas. Our main speakers will give introductory talks accessible to graduate students. Main Speakers A. Miasnikov

58. Cortona 2004 Geometric group theory, Random Walks, and Harmonic Analysis, Cortona, 2004. of Geometric group theory on one hand and Harmonic Analysis on the other. http://www.math.tugraz.at/~cortona/

GEOMETRIC GROUP THEORY, RANDOM WALKS, AND HARMONIC ANALYSIS Conference in Cortona, Italy, June 13-18, 2004 Sponsors Purpose Organizers Invited speakers and special guests ... PICTURES OF THE CONFERENCE (click here) Sponsors The primary sponsor of the conference is Additional funding is provided by Italian "Cofin" project "Analisi Armonica" at and also directly by Back to top. Purpose of the conference Regarding the three areas in the title of the conference, the idea is that Random Walk Theory and related probablistic thoughts may play the role of a "bridge" between the other two, big fields of Geometric Group Theory on one hand and Harmonic Analysis on the other. The purpose of the meeting, which might host up to 80 participants, is to bring together people who are open-minded towards this type of interaction. Part of the spirit of the conference is also to continue a a row of conferences on similar, but not identical topics: "Harmonic Analysis on Trees and Graphs", Cortona, 1988; "Harmonic Analysis and Discrete Potential Theory", Frascati, 1992; "Harmonic Functions on Trees and Buildings", New York, 1995;

59. Group Theory - Mathematics And The Liberal Arts group theory Mathematics and the Liberal Arts. For more material on this topic, see subtopic Symmetry. To expand search, see Algebra. http://mtcs.truman.edu/~thammond/history/Groups.html

Group Theory - Mathematics and the Liberal Arts For more material on this topic, see subtopic Symmetry . To expand search, see Algebra . Laterally related topics: Solutions of Polynomial Equations Solutions of Linear Equations Indeterminate Equations , and Imaginary and Complex Numbers The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Schattschneider, Doris. The plane symmetry groups: their recognition and notation.

60. Group Theory -- From Eric Weisstein's Encyclopedia Of Scientific Books group theory in Physics Proceedings of the International Symposium Held in Honor of Prof. Marcos Moshinsky, Cocoyoc, Morelos, Mexico 1991. 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.

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