21. TOPOLOGICAL METHODS IN GROUP THEORY Table of contents only, but draft chapters can be downloaded by arrangement. http://www.math.binghamton.edu/ross/contents.html

TOPOLOGICAL METHODS IN GROUP THEORY by Ross Geoghegan This book is Volume 243 of the Springer series Graduate Texts in Mathematics. 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 PART I: ALGEBRAIC TOPOLOGY FOR GROUP THEORY CHAPTER 1: CW COMPLEXES AND HOMOTOPY: 1.1 Review of general topology 1.2 CW complexes 1.3 Homotopy

22. Mathematical Sciences Research Institute - Geometric Group Theory Geometric group theory is relatively young field but with older and deeper roots in which groups were studied from combinatorial and topological http://www.msri.org/calendar/programs/ProgramInfo/245/show_program

SITE MAP SEARCH SHORTCUT: Choose a Destination... Calendar Programs Workshops Summer Grad Workshops Seminars Events/Announcements Application Materials Visa Information Propose a Program Propose a Workshop Policy on Diversity MSRI Alumni Archimedes Society Why Give to MSRI Ways to Give to MSRI Donate to MSRI Planned Gifts FAQ Staff Member Directory Contact Us Directions For Visitors Pictures Library Computing SGP Streaming Video / VMath MSRI in the Media Emissary Newsletter Outlook Newsletter Subscribe to Newsletters Books, Preprints, etc. Federal Support Corporate Affiliates Sponsoring Publishers Foundation Support Academic Sponsors HOME ACTIVITIES CORP AFFILIATES ABOUT COMMUNICATIONS Calendar ... Events/Announcements Geometric Group Theory August 20, 2007 to December 14, 2007 Mathematical Sciences Research Institute, Berkeley, CA. Organized By: Mladen Bestvina, Jon McCammond, Michah Sageev, Karen Vogtmann Geometric group theory is relatively young field but with older and deeper roots in which groups were studied from combinatorial and topological perspectives. Combinatorial group theory traces back to the work of Dehn, and focuses on the combinatorial nature of cell complexes associated to groups. Topological methods in group theory focused on the cohomology of groups and their finiteness properties, and hence viewed groups as essentially topological ob jects. In the mid 1980's, spurred by ideas of Jim Cannon and Misha Gromov, group theorists began to pay attention to the geometric structures which cell complexes can carry. This attention shed a great deal of light on the earlier combinatorial and topological investigations into group theory, and stimulated other innovative ideas which have been developing at a rapid pace. As it has grown over the past 20 years, geometric group theory has developed many different facets, including geometry, topology, analysis, logic.

23. Homotopical Group Theory And Topological Algebraic Geometry The conference focuses on the new interactions of Algebraic Topology with group theory, Algebraic Geometry and Mathematical Physics which come from looking http://www.ruhr-uni-bochum.de/topologie/conf08/

24. GROUP THEORY LINKS web.mit.edu/afs/athena.mit.edu/ user/r/e/redingtn/www/netadv/groups.html 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

25. CRM Conferences And Courses Centre de Recerca Matemàtica, Universitat Autònoma de Barcelona, Bellaterra, Spain; 28 June 2 July 2005. http://www.crm.es/GeometricGroupTheory/

Barcelona Conference on Geometric Group Theory Programme List of registered participants List of participants with lodging arrangements Group Picture Dates: June 28 to July 2, 2005 Place: Centre de Recerca Matemàtica Scientific committee: Noel Brady Josep Burillo Enric Ventura Coordinator: Josep Burillo Speakers: Mladen Bestvina , University of Utah Thomas Delzant , Université de Strasbourg Gilbert Levitt , University of Caen Luis Ribes , University of Carleton Karen Vogtmann , Cornell University

26. Geometric And Asymptotic Group Theory With Applications It will be devoted to the study of a variety of topics in Geometric and Combinatorial group theory, including asymptotic and probabilistic methods, http://www.epsem.upc.edu/~gagta/

Versió en Català Satellite activity of the ICM Description Program Registration ... Contact us Last Update: 30-8-2006 Webmaster: Abdó Roig visitors Description On the occasion of the International Congress of Mathematicians (ICM06) to be held in Madrid (Spain) on August, 2006, we are organising a conference entitled "Geometric and Asymptotic Group Theory Conference with Applications" (GAGTA for short), which will be held from August 31st to September 4th, 2006 at the Escola Politècnica Superior d'Enginyeria de Manresa (EPSEM) of the Universitat Politècnica de Catalunya (UPC). It is an official satellite activity of the ICM06. It will be devoted to the study of a variety of topics in Geometric and Combinatorial Group Theory, including asymptotic and probabilistic methods, as well as algorithmic and computational topics involving groups. More specifically, this includes but is not limited to: combinatorial methods, group actions, hyperbolicity, quasi-isometries, isoperimetric functions, growth, asymptotic invariants, Poisson boundaries, random walks, algorithmic problems related to groups... To emphasise the "Applications" of geometric and asymptotic group theory, and highlighting the very recent developments regarding "group based cryptography", we will devote the last day of the conference to this subject: September 4th will be the "Cryptography Day".

27. An Introduction To Group Theory Number theory Exercises Introduction to Groups Definition of a group Some consequences of the axioms Elementary Properties of Groups http://web.usna.navy.mil/~wdj/tonybook/gpthry/

Next: Contents Contents Index An introduction to group theory Tony Gaglione Contents Preliminaries Sets and mappings Exercises ... About this document ... David Joyner

28. American Scientist Online - Group Theory In The Bedroom group theory in the Bedroom. An insomniac s guide to the curious mathematics of mattress flipping. Brian Hayes. Having run out of sheep the other night, http://www.americanscientist.org/template/AssetDetail/assetid/45938

Home Current Issue Archives Bookshelf ... Subscribe In This Section Search Book Reviews by Issue Issue Index Topical Index ... Classics Site Search Advanced Search Visitor Login Username Password Help with login Forgot your password? Change your username see full issue: September-October 2005 Volume: Number: Page: DOI: COMPUTING SCIENCE Other Formats: PostScript (Zip) PDF PostScript Group Theory in the Bedroom An insomniac's guide to the curious mathematics of mattress flipping Brian Hayes Having run out of sheep the other night, I found myself counting the ways to flip a mattress. Earlier that day I had flipped the very mattress on which I was not sleeping, and the chore had left a residue of puzzled discontent. If you're going to bother at all with such a fussbudget bit of housekeeping, it seems like you ought to do it right, rotating the mattress to a different position each time, so as to pound down the lumps and fill in the sags on all the various surfaces. The trouble is, in the long interval between flips I always forget which way I flipped it last time. Lying awake that night, I was turning the problem over in my head, searching for a golden rule of mattress flipping. The essential characteristic of a golden rule is universality: One rule works all the time, for everyone. The famous archetype of such rules—the one about doing unto others—certainly has this property. So does the rule of the road: "Drive to the right." ("Drive to the left" works just as well; what matters is not which side you choose but that everyone make the same choice.) Not all rules generalize so smoothly. A sign saying "Please use other door" is not helpful when it's posted on

29. Group Theory, Combinatorics And Computation 2009 International Conference - Welc Special Theme Program on group theory, Combinatorics and Computation at The University of Western Australia in Perth, 516 January, 2009. In honour of http://sponsored.uwa.edu.au/gcc09/

Welcome Pre-Registration About Perth Accommodation ... Related conferences Special Theme Program on Group Theory, Combinatorics and Computation at The University of Western Australia in Perth, 5-16 January, 2009. In honour of Professor Cheryl Praeger's 60th Birthday. Invited Speakers Rosemary Bailey (Queen Mary, University of London, UK), Peter Cameron (Queen Mary, University of London, UK), Marston Conder (University of Auckland, NZ), Marcel Herzog (Tel-Aviv University, Israel), Kathy Horadam (RMIT, Aus), Sasha Ivanov (Imperial College London, UK), William Kantor (University of Oregon, USA), Cai Heng Li (UWA, Aus), Charles Leedham-Green (Queen Mary, University of London, UK), Martin Liebeck (Imperial College London, UK), Brendan McKay (ANU, Aus), Peter Neumann (Queen's College, University of Oxford, UK), Eamonn O'Brien (University of Auckland, NZ), Tim Penttila (Colorado State University, USA), Jan Saxl (University of Cambridge, UK), Akos Seress (Ohio State University, USA). Format of the proposed programme The special theme programme will be broken down into two weeks. Participants may attend either week or both.

30. Asymptotic And Probabilistic Methods In Geometric Group Theory This workshop will concentrate on asymptotic and probabilistic methods in geometric group theory. It will be held in Geneva, in June 2005. http://mad.epfl.ch/apg/

International Conference “Asymptotic and Probabilistic Methods in Geometric Group Theory” Monday June 20 to Saturday June 25, 2005 at the University of Geneva Switzerland organized by Goulnara N. Arzhantseva Laurent Bartholdi Alexander Yu. Ol'shanskii Mark Sapir , and Efim Zelmanov Some final remarks Proceedings As mentioned during the conference, there will be a volume of proceedings, edited jointly with the "Barcelona Conference on Geometric Group Theory" which took place this July. This volume will probably be published by Birkhauser, in a proceedings collection. Both surveys and original research papers are welcome; all papers will be refereed, and only highest-quality works will be accepted. Submissions should be either in English, or should contain an abstract/summary in English that is at least 1/2 page long. The delay for submission is December 31, 2005. Please send your paper in electronic format, preferably PostScript or PDF, either to Goulnara Arjantseva (goulnara.arjantseva(at)math.unige.ch) or to Laurent Bartholdi (laurent.bartholdi(at)epfl.ch) Pictures This website now contains some pictures of the speakers of the conference. They are in the directory

31. Group Theory Seminar The word problem establishes a strong connection between group theory and theory of computation 1. Some finitely presented groups have undecidable word http://www.math.rutgers.edu/~seminars/GroupTheory.html

Group Theory Seminar Organizer Lisa Carbone email: carbonel@math.rutgers.edu Speaker Alain Valette, Universite de Neuchatel (NOTE: DIFFERENT TIME AND ROOM) Title Spaces with measured walls, the Haagerup property and property (T) Time/place Thursday, 5/11/2006 11:00am in TBA Abstract Speaker Title Growth and Hausdorff dimension of branch groups defined by primitive polynomials Time/place Wednesday, 5/3/2006 1:40pm * in Hill 423 Abstract We present a class of groups of intermediate growth defined by primitive polynomials over finite fields (the first Grigorchuk group fits in this setting as the group corresponding to the unique primitive polynomial x^2+x+1 over GF(2)). Each group in the class is a branch group with positive Hausdorff dimension in the topology induced by level stabilizers. Speaker Seonhee Lim, Yale University Title Counting overlattices in automorphism groups of trees and buildings Time/place Wednesday, 4/26/2006 1:40pm * in Hill 423 Abstract Given a connected semisimple Lie group G, the Kazhdan-Margulis lemma says that there exists a positive lower bound for the covolume of cocomplact lattices in G. This is no longer true when G is the automorphism group of a locally finite tree or buildings. Thus counting overlattices (overgroups containing a lattice with index n) in these groups is a natural question, a 'dual' problem to the subgroup growth theory developed by Lubotzky and others. The main tools are covering theory of graphs of groups and that of complexes of groups.

32. Cmm Muted group theory is a critical theory because it is concerned with power Muted group theory begins with the premise that language is culture bound, http://oregonstate.edu/instruct/theory/mutedgrp.html

Muted Group Theory Summary: Muted Group Theory is a critical theory because it is concerned with power and how it is used against people. While critical theories can separate the powerful and the powerless any number of ways, this theory chooses to bifurcate the power spectrum into men and women. Muted Group Theory begins with the premise that language is culture bound, and because men have more power than women, men have more influence over the language, resulting in language with a male-bias. Men create the words and meaning for the culture, allowing expression of their ideas. Women, on the other hand, are left out of this meaning creation and left without a means to express that which is unique to them. That leaves women as a muted group. The Muted Group Theory rests on three assumptions: Men and women perceive the world differently because they have different perception shaping experiences. Those different experiences are a result of men and women performing different tasks in society. Men enact their power politically, perpetuating their power and suppressing women's ideas and meanings from gaining public acceptance.

33. Group Theory And Its Applications group theory and its Applications is an LMS joint research group funded by a scheme 3 grant, MIMS and the University of Birmingham. http://personalpages.manchester.ac.uk/staff/Charles.Eaton/MBI.html

GROUP THEORY AND ITS APPLICATIONS Manchester-Birmingham-Imperial Group Theory and its Applications is an LMS joint research group funded by a scheme 3 grant, MIMS and the University of Birmingham. The organisers are Charles Eaton Chris Parker and Alexander Ivanov There will be 4 meetings in the year 2004-2005, with scope the entire range of group theory and its neighbours. There will be a strong emphasis on postgraduate education and collaboration between the various disciplines of group theory. NEXT MEETING 9th DECEMBER at IMPERIAL COLLEGE LONDON. Programme for meeting on 9th December 2005: Location: Department of Mathematics, Huxley Building, Imperial College London 12:00 Tea and biscuits (Room 549, Huxley) 13:00 Peter Fleischmann (Kent) Invariant Theory of Groups (Room 341, Huxley) 12:00 Tea break (Room 549, Huxley) 15:00 Martin Bridson (Imperial) Finitely presented groups with restricted finite quotients (Room 342, Huxley) 16:15 Peter Cameron (Queen Mary) Permutation groups, enumeration, and graded algebras (Room 342, Huxley)

34. Folk In The Forum Members of a group theory mailing list. http://www.bath.ac.uk/~masgcs/folk/folk.html

Folk in Group Pub Forum The following people, listed in alphabetical order by surname, are a subset of forum members and you can click on their names to go to their home pages, or failing that, to get information on how they may be contacted. You can join this list here Group Pub Forum Members : Erhard Aichinger of Johannes Kepler University, Linz, Austria; erhard@algebra.uni-linz.ac.at Ramana Andra of the University of Toledo, U.S.A.; randra@math.utoledo.edu Mike Atkinson of the University of St Andrews, Scotland; mda@dcs.st-and.ac.uk Robert Baddeley of the University of Leicester, England; rwb3@mcs.le.ac.uk Peter Balazs of the Institute of Acoustics Research of the Austrian Academy of Science; a9003307@unet.univie.ac.at Matt Bardoe of the University of Illinois at Chicago, U.S.A.; bardoe@math.uic.edu Laurent Bartholdi of the University of Geneva, Switzerland; Laurent.Bartholdi@math.unige.ch Homer Bechtell of the University of New Hampshire, U.S.A.; bechtell@cisunix.unh.edu Pierre Bejian of the Universite Aix-Marseille III, France; pierre.bejian@math.u-3mrs.fr

35. Combinatorial And Geometric Group Theory Combinatorial and geometric group theory. Vanderbilt University, May 510, 2006. In honor of. Alexander Yu. Olshanskii. (Vanderbilt University) http://www.math.vanderbilt.edu/~msapir/cggt/cggt.html

Combinatorial and geometric group theory Vanderbilt University, May 5-10, 2006 In honor of Alexander Yu. Olshanskii (Vanderbilt University) on the occasion of his 60 th birthday The conference will be held in conjunction with the 21 st Shanks lectures. The Shanks lecture will be given by Alex Lubotzky (Hebrew University of Jerusalem) The title of the Shanks lecture: Finite groups and hyperbolic manifolds. The conference is supported by the Shanks foundation, NSF and Vanderbilt University Organizing committee: Goulnara Arzhantseva Mike Mihalik , Denis Osin Mark Sapir ... Efim Zelmanov Conference email: cggtayo@gmail.com News. December 3, 2005: The second announcement has been sent. If you do not receive it and want to be on the mailing list, please let the organizers know. February 22, 2006: The current list of abstracts of proposed talks can be viewed here . The deadline for submitting an abstract is March 20. No abstracts will be accepted after that. To look at the list of participants giving 45-min lectures and abstracts of their talks, click here March 1, 2006: The list of Olshanskii's students

36. LMS North LMS regional meeting and workshop. University of Newcastle, UK; 19 June 1 July (workshop) and 2 July (meeting) 2004. http://www.mas.ncl.ac.uk/~najd2/lmsnorth/

London Mathematical Society Northern Regional Meeting and Workshop School of Mathematics and Statistics University of Newcastle 29th June - 2nd July 2004 Speakers Schedule Accommodation Conference Dinner ... Contacts The London Mathematical Society Northern regional meeting will be held on Friday July 2nd 2004 in the School of Mathematics and Statistics, Newcastle University. This is a non-specialist meeting and the talks are intended for a general mathematical audience The meeting will be preceded by a workshop on Geometric Group Theory, with emphasis on formal languages, logic and equations, from Tuesday 29th June till the Thursday 1st July. Postgraduate participants may also be interested in the pure mathematics postgraduates meeting on Monday 28th June. Speakers Northern Regional Meeting, 2nd July R.I. Grigorchuk M. Gromov Workshop, 29th June - 1st July G. Baumslag A. Borovik M. Bridson R. Gilman D. Holt J. Howie A. Miasnikov M. Sapir P. Schupp Schedule The Workshop will begin on Tuesday 29th June in the morning and finish on Thursday 1st July in the afternoon. There will be a civic reception on Thursday evening. The Meeting will be held in the afternoon of Friday 2nd July and will be followed by dinner. For more details see the programme and the list of confirmed participants Accommodation University accommodation is available in the halls of residences at Castle Leazes . You can book these rooms on the registration form below, while stocks last, but bookings will only be confirmed if we receive your deposit by 29th May 2004.

37. 2003 Albany Group Theory Conference ALBANY group theory. CONFERENCE. OCTOBER 1719, 2003. hosted by. University at Albany. Conference Schedule Arrival information. Ted Turner organizer http://math.albany.edu/~ted/03conf.html

ALBANY GROUP THEORY CONFERENCE OCTOBER 1719, 2003 hosted by University at Albany Conference Schedule Arrival information Ted Turner : organizer Funded by NSF and University at Albany MAIN SPEAKERS Peter Brinkman Mark Feighn Robert Gilman Bilal Khan Zlil Sela Simon Thomas Karen Vogtmann This conference will be held at the same facility as were the previous conferences and will again focus on low dimensional topology and combinatorial group theory. There will be hour lectures by the main speakers and a program of shorter talks (not competing with the main talks). The conference will begin at 5:00 Friday, October 17 with the first of the main talks and will end mid-afternoon on Sunday, October 19. The conference center, The Rensselaerville Institute, is located in the hills southwest of Albany (about 45 minutes by car) in a very rural setting with fine facilities for both work and recreation. There are two main lecture halls as well as four small seminar rooms in the main building and lounges in the residence lodges. Small working sessions can be easily accommodated. Adjacent to the grounds are a lake with a 2.5 mile jogging trail and a state preserve with many miles of fine hiking trails: on the grounds are tennis courts and recreation rooms with pool tables and ping pong tables. The conference center fee is $350, which covers all food, lodging and use of the facilities. Support will be provided to the extent that funds allow.

38. Group Theory Smith, David A. group theory From Library of Math Online math organized by subject into topics. http//www.libraryofmath.com/grouptheory.html http://www.libraryofmath.com/group-theory.html

Online math organized by subject into topics. About Us Mission Statement Help Math Subjects ... Alphabetical Listing group theory about group theory about group theory group theory learning group theory introducing mappings and operations introducing mappings mappings on finite and infinite sets composition of mappings invertible mappings ... properties of operations group theory introducing groups introducing groups permutation groups subgroups of groups symmetry groups group theory equivalence relations equivalence relations elementary properties of groups group theory the integers congruence in the integers fundamental theorem of arithmetic in the integers group theory cosets and fundamental theorems introducing cosets of a subgroup homomorphisms and quotient groups fundamental homomorphism theorems group theory Web Information pages linking here related pages group theory Cite this as Smith, David A. "Group Theory" From Library of Math Online math organized by subject into topics. http://www.libraryofmath.com/group-theory.html Custom math products and merchandise on sale now. Share your enthusiasm for mathematics!

39. The Southwestern Group Theory Day The Southwestern group theory Day. To be held at the University of Arizona, Tucson. Saturday, October 27, 2007. Scheduled Speakers For the current schedule http://math.arizona.edu/~grouptheory/grouptheoryday.html

The Southwestern Group Theory Day To be held at the University of Arizona, Tucson Saturday, October 27, 2007 Scheduled Speakers: For the current schedule and a list of titles, click here Robert Boltje, University of California at Santa Cruz Robert Guralnick, University of Southern California Alexander Hulpke, Colorado State University Thomas Keller, Texas State University at San Marcos Nat Thiem, University of Colorado at Boulder Simon Guest, University of Southern California Margret Soley Jonsdottir, Colorado State University Chris Berg, University of California at Davis Cam McLeman, University of Arizona Location: All of the talks will be in room 501 of the Math Building on the University of Arizona campus. The address is 617 N Santa Rita Ave. For an interactive map of campus, click here Accommodations: The Four Points Sheraton at 1900 East Speedway in Tucson is the closest hotel (about a 10-15 minute walk to the math building). There are plenty of other options for housing near campus as well, so feel free to search them out on the internet. Local Information and Travel: The campus and the Four Points Hotel are about 9 miles from the airport, which would make for about a

40. Group Theory & Rubik's Cube This course is an introduction to group theory using various puzzles as examples to make the subject more accessible and concrete. http://www.marlboro.edu/~mahoney/courses/Spr00/rubik.html

Physics Astronomy Spr '00 Courses ... mahoney@marlboro.edu Contents General Info Notes 2cr Assignments 3cr Assignments ... online General Info Time M,Th 1:30 Place SciBldg 217 Credits 2 or 3 Group theory is the study of the algebra of transformations and symmetry. While that sounds a bit esoteric (and it certainly can be), what it means is that it looks at the ways you can turn, rotate, or stretch one pattern or do-hickey back onto itself - which is something that puzzles like the Rubik's Cube and pictures like the ones Escher drew have in common. This course is an introduction to group theory using various puzzles as examples to make the subject more accessible and concrete. The level will depend on who shows up: at one extreme, some of us can taste the edges of a very beautiful piece of mathematics while learning to solve the Rubik's cube, while at the other extreme, some of us may delve into some deep mathematical proofs. We'll see where we want to head, and how far, depending on your backgrounds and interests. After our initial discussions, it now seems that folks doing the 2 credit version need only come on Thursdays, when we will focus on the puzzles and general ideas, while those who want to see more of the proofs and deeper mathematics should come Mondays as well, for the 3 credit version.

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