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         Group Theory:     more books (100)
  1. Classical Topology and Combinatorial Group Theory by John Stillwell, 1993-03-25
  2. Numbers, Groups and Codes by J. F. Humphreys, M. Y. Prest, 2004-05-24
  3. Linear Representations of Finite Groups (Graduate Texts in Mathematics) (v. 42) by Jean-Pierre Serre, 1977-09-01
  4. Groups and Representations (Graduate Texts in Mathematics) by J.L. Alperin, Rowen B. Bell, 1995-09-11
  5. Group Theory in Subnuclear Physics (Oxford Studies in Nuclear Physics) by Fl. Stancu, 1997-01-30
  6. Group Theory for Chemists (Physical science series) by George Davidson, 1991-05-24
  8. Group Theory: Birdtracks, Lie's, and Exceptional Groups by Predrag Cvitanovic, 2008-07-01
  9. Lie Groups, Lie Algebras, and Some of Their Applications by Robert Gilmore, 2006-01-04
  10. Representations and Characters of Groups by Gordon James, Martin Liebeck, 2001-11-15
  11. Group Theory in Physics (Techniques in Physics, Vol 1) by Cornwell, 1986-05-14
  12. Counselor and The Group: Integrating Theory, Training, and Practice by James P. Trotzer, 1999-08-01
  13. The Representation Theory of the Symmetric Group (Encyclopedia of Mathematics and its Applications) by James, 2009-03-19
  14. Theory of Lie Groups (PMS-8) by Claude Chevalley, 1999-12-21

121. Geometric Group Theory
Workshop at MathFest. Providence, RI, USA; 12 August 2004.
Geometric Group Theory Workshop at MathFest
August 12, 2004, from 3:15 to 5:15 Geometric group theory freely exploits techniques from various branches of mathematics (often geometry and topology) in order to study the structure of discrete, infinite groups. This workshop consists of four talks intended to introduce central aspects of geometric group theory to a broad audience. If you come in the door knowing the definition of a group, by the end of this session you will know everything there is to know about geometric group theory!* This is an Invited Paper Session at the MAA's MathFest in Providence, RI.
The Talks
    Ted Turner (Albany) Curvature in dimension two: a case study in geometric group theory Geometric group theory is an approach to the study of discrete groups using ideas from geometry. We will discuss what is meant by `curvature' and `dimension' for discrete groups and describe the very different properties of groups of dimension two that have negative curvature as opposed to those that have non-positive curvature. Kim Ruane (Tufts) Infinite groups and geometry - a match made in heaven!

122. 392C Geometric Group Theory
392C Geometric Group Theory. Residual finiteness and wordhyperbolic groups. Home About Blogging LaTeX Roster Subscribe to feed
392C Geometric Group Theory
Residual finiteness and word-hyperbolic groups
35. Separating quasi-convex subgroups.
22 April 2009 in Course notes Quasiconvex subgroups Separability pweil ... Leave a comment Last time: Theorem 21 is hyperbolic rel then there exists a finite subset such that if then
(a) is injective;
(b) is hyperbolic rel Theorem 22 (Gromov, Olshanshkii, Delzant): If is hyperbolic relative to the infinite cyclic then there is a such that for all there exists a hyperbolic such that for each Definition : If (infinite cyclic) is malnormal then we say are independent . A group G is omnipotent if for every independent there exists a such that for all to a finite group such that for all Omnipotence strengthens residual finiteness for torsionfree groups. Exercise 29 : If every hyperbolic group is residually finite then every hyperbolic group is omnipotent. Theorem 22 of any hyperbolic group is separable. Let . The idea is to Dehn fill to get a new hyperbolic group in which the image is finite and . If we could do this, we would be done by residual finiteness. This works if

123. Research Tourism Opportunities
Forthcoming conferences and gatherings of possible interest are listed in chronological order.
Conference Information: A Group Pub Forum Service
Forthcoming conferences and gatherings of possible interest are listed in chronological order.
Antalya, Turkey
The Antalya Algebra Days will be from Wednesday May 28 to Sunday June 1, 2003 in Antalya, Turkey. This will be the fifth of our annual meetings in Antalya on algebra and its applications. Given the circumstances, there is no deadline for conference participation. Potential participants can decide at the last minute to come to Antalya. If you wish to receive further announcements, please send an e-mail to:
St Andrews, Scotland
A 60th birthday party for Edmund Robertson will be held on May 30-31 2003 (Friday and Saturday). The celebrations will take the form of group theory. This is a 50th birthday party for Slava Grigorchuk held during June 1-6 2003 (Six days! Pity his poor mother). The official title of the event is the International Conference on Group Theory: Combinatorial, Geometric, and Dynamical Aspects of Infinite Groups
Aarhus, Denmark
A meeting on the Representation Theory of Algebraic Groups during June 2-6 2003 for people who don't like Slava Grigorchuk.

124. Faculty Groups At CUNY
Oct 18, 2010 Anshel, Michael the design and analysis of cryptographic algorithms, complexity of algorithms, combinatorial group theory and its




Listed by Research
Research Groups Research groups at the CUNY graduate center can roughly be described by the following fields: Many faculty participate in more than one research group. Algebraic Geometry:

125. Folk In The Forum
Members of a group theory mailing list.
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 :

126. Norton, Simon P.
University of Cambridge. Group theory. Contact information.

127. [math/0609502] The Fourier Transform In Quantum Group Theory
by A Van Daele 2006 - Cited by 4 - Related articles math
Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages
Full-text links:
Current browse context:
what is this?
Mathematics > Rings and Algebras
Title: The Fourier transform in quantum group theory
Authors: A. Van Daele (Submitted on 18 Sep 2006 ( ), last revised 12 Apr 2007 (this version, v3)) Abstract: The Fourier transform, known in classical analysis, and generalized in abstract harmonic analysis, can also be considered in the theory of locally compact quantum groups.
In this note, I discuss some aspects of this more general Fourier transform. In order to avoid technical difficulties, typical for the analytical approach, I will restrict to the algebraic quantum groups. Roughly speaking, these are the locally compact quantum groups that can be treated with purely algebraic methods (in the framework of multiplier Hopf algebras).
Subjects: Rings and Algebras (math.RA) ; Group Theory (math.GR) Cite as: arXiv:math/0609502v3 [math.RA]

128. Dr Ben Fairbairn · School Of Mathematics And Statistics · University Of Birmingh
PhD student at the University of Birmingham, UK. CV, publications and research into various aspects of group theory.
School of Mathematics University of Birmingham
Dr. Ben Fairbairn
Please note that this website will not be updated from March 2010 onwards
"The mathematical sciences particularly exhibit order,
symmetry, and limitation; and these are the greatest
forms of the beautiful."

Postal address:
School of Mathematics
Watson Building
University of Birmingham
Email address:
fairbaib AT maths DOT bham DOT ac DOT uk
I am a Visiting Professor of mathematics in Universidad de los Andes and an Honorary Research Fellow in the School of Mathematics in the University of Birmingham where I completed my PhD under the supervision of Professor Robert Curtis . My thesis can be found here . I study finite groups along with related geometric/combinatorial structures emphasising the Sporadic Simple Groups . I did my first degree at King's College of the University of Cambridge , home to the wonderful CMS . I also did Part III
  • Preprints and Publications A short list:
    by M Carmeli Cited by 97 - Related articles
    Search Home About Us Contact Us Authors ... E-books BOOKS BY SUBJECT Architecture and Building
    Asian Studies

    Business and Management


    Computer Science
    Nanotechnology and

    Nonlinear Science


    Popular Science
    Social Sciences ... New Reviews GROUP THEORY AND GENERAL RELATIVITY Representations of the Lorentz Group and Their Applications to the Gravitational Field by Moshe Carmeli (Ben Gurion University, Israel) This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -particularly the Lorentz and the SL C) groups — to the theory of general relativity. Each chapter is concluded with a set of problems.

    130. Professor Gareth Jones :: School Of Mathematics
    University of Southampton. Group theory, and its applications to geometry, topology, combinatorics and Galois theory. Recent preprints.
    @import "/style/main.css"; Jump to content [j] Jump to global navigation [k] Jump to local navigation [l] School of Mathematics
    This site University
    Professor Gareth Jones
    School of Mathematics
    University of Southampton
    University Road
    Position: Professor
    Research group: Pure Mathematics
    Location: Extension: Telephone: Fax: Email Professor Gareth Jones
    Research interests
    Group theory, and its applications to geometry, topology, combinatorics and Galois theory Teaching responsibilities for Professor Gareth Jones Module title Module code Discipline Role Mathematics Course leader Communicating and Researching Mathematics Mathematics Tutor Linear Algebra I Mathematics Tutor Mathematics For Engineering Sciences Mathematics Tutor Vector Calculus and Complex Variable Mathematics Tutor
    Punturo, M. Abernathy, M. Acernese, F. Allen, B. Andersson, N. Arun, K. Barone, F. Barr, B. Barsuglia, M.

    University of Southampton. Geometric group theory.
    GRAHAM A. NIBLO’S HOMEPAGE My main research interests lie in the area of analytic, topological and geometric  methods in group theory with applications in geometry. I have published several  results concerning the splitting theory of discrete groups with related results  concerning the structure of 3-manifolds. My most recent result in the area is joint work with Aditi Kar in which we derive a strong form of the torus theorem for certain splittings of high dimensional manifolds. My work with Lawrence Reeves laid the  foundations for the study of group actions on CAT(0) cube complexes which has been applied by others working on the Baum-Connes conjecture and has come to  prominence partly due to the recent results of Haglund and Wise showing that many  important groups act on such spaces. This led to an extended study of Johnson’s characterisation of amenability with Jacek Brodzky, Piotr Nowak and Nick Wright. Current and recent projects are outlined below.
    Topological superrigidity (Joint work with Aditi Kar) Following our earlier work on splittings for Poincaré duality groups over a large class of lattices in Lie groups we discovered a new topological splitting theorem for high dimensional manifolds. In the statement a T-manifold is any closed manifold such that the universal cover is an irreducible globally symmetric Riemannian manifold of non-compact type, and which is one of the following: of real rank at least 2;  quaternionic hyperbolic space; the Cayley hyperbolic plane.

    132. Group Explorer Homepage
    It helps the user visualize group theory, builds students intuition, Online article introducing the classroom utility of group theory visualization
    Group Explorer 2.2
    Group Explorer is mathematical visualization software for the abstract algebra classroom.
    It helps the user visualize group theory, builds students' intuition,
    and enables experimentation with groups.
    click for screenshots
    Visual Group Theory
    A book designed to be used alone or in conjunction with Group Explorer, giving a thoroughly visual introduction to group theory, building strong intuition for the mathematical objects called groups.
    JOMA Article on GE 1.5.8
    Online article introducing the classroom utility of group theory visualization using Group Explorer 1.5.8.
    Data file generator
    A student and professor from Tokyo created a program to turn arbitrary group definitions into Group Explorer data files! You can read about it and download it for free
    GE has a wiki , so contribute!
    Classroom Resources and Homework Assignments
    These resources were contributed to the old version's homepage, but are still relevant and usable, perhaps with some tweaking. 7/10-present
    See previous years' maps
    Current Features
    Primary features listed here, or read the

    133. Brad Emmons
    Utica College, New York. Modular forms; Group theory visualisation. Software.
    Brad Emmons
    Welcome to my webpage. My name is Brad Emmons and I am an Associate Professor of Mathematics at Utica College . The purpose of this page is to serve as a starting point for information on both the courses that I am teaching and my research. See what I would look like if I was on South Park
    School of Arts and Sciences
    Utica College
    Utica, NY
    USA Phone:
    Office Hours:
    Faculty Center 209

    Mondays and Fridays, 10:30 - 11:30, or by appointment
    I finished my PhD from Indiana University in June of 2003. I am interested in Number Theory and Modular Forms. My thesis was titled "Products of Hecke Eigenforms", and in it I attempted to classify all cases where the product of two Hecke Eigenforms is another Hecke Eigenform. In addition to working in the field of Modular Forms, I am on the design team for Group Explorer , which is a really cool program to visualize groups in Abstract Algebra. Download a copy (for free!) and tell me what you think.

    134. Yves De Cornulier's Maths Page
    Roughly speaking, my field of research is infinite group theory (more pedantically, geometric group theory). I have especially focused on aspects of group
    Des maths...
    back to the English main page Roughly speaking, my field of research is infinite group theory (more pedantically, geometric group theory). I have especially focused on aspects of group theory involving unitary representations and isometric actions on Hilbert spaces, such as Kazhdan's Property (T), Haagerup Property and their variants. I'm also interested in the so-called space of (marked) finitely generated groups, structural results about locally compact groups, and in the asymptotic geometry of connected solvable Lie groups (Dehn function, asymptotic cones).
    Publications, submitted papers and prepublications.

      Large-scale geometry
    • (with Romain Tessera Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups (11 pages, pdf Note: the first versions of this paper were untitled " Embeddings of solvable Baumslag-Solitar groups into discrete groups with quadratic Dehn function
    • (with Romain Tessera Contracting automorphisms and L p -cohomology in degree one . (27 pages

    135. Zhi-Wei Sun's Homepage
    Nanjing University. Number and group theory, combinatorics and mathematical logic. Includes papers and lectures.
    Initial day: July 31, 2001 Last modified: Oct. 22, 2010 visits since April 10, 2002 ˇˇˇˇˇˇ ˇˇˇˇˇˇ ˇˇˇˇˇˇ
    Zhi-Wei Sun

    ˇˇˇˇˇˇˇˇˇˇˇˇDepartment of Mathematics
    ˇˇˇˇˇˇˇˇˇˇˇˇNanjing University
    ˇˇˇˇˇˇˇˇˇˇˇˇNanjing 210093
    ˇˇˇˇˇˇˇˇˇˇˇˇPeople's Republic of China
    ˇˇˇˇˇˇˇˇˇˇˇˇOffice in the Dept.: Room 103
    Last Name Sun First Name Zhi Wei Year of Birth Research Interests
    Number Theory (especially Combinatorial Number Theory),
    ˇˇˇˇˇˇ Combinatorics, Group Theory, Mathematical Logic. Academic Service ˇˇˇˇˇˇ Editor-in-Chief of Journal of Combinatorics and Number Theory You may submit your paper by sending the pdf file to ˇˇˇˇˇˇˇˇ or to one of the two managing editors Florian Luca and Jiang Zeng A sample tex file ˇˇˇˇˇˇ Editorial Board Member of International Journal of Number Theory ˇˇˇˇˇˇ Reviewer for Zentralblatt Math.

    136. Invited Paper Sessions - MathFest 2010
    “Repeating decimal representations of fractions and group theory” Geometric Group Theory is a vibrant and relatively young field that studies countable
    Invited Paper Sessions
    • Mathematical Visualization
      Saturday, August 7, 1:00pm - 2:50pm
      • Frank Farris, Santa Clara University
      • Thomas Banchoff, Brown University
        Frank Farris, Santa Clara University
        Ockle Johnson, Keene State College
        Jonathan Rogness, University of Minnesota
      If a visualization of some mathematical idea is to be viewed on a computer screen or drawn on paper, it must be somehow reduced to two dimensions. Since the advent of computer graphics, mathematicians have produced a wealth of imaginative ways to depict high-dimensional objects on a flat screen. Each talk in the session will illustrate mathematical ideas that a previous generation probably found difficult to see. Visualizing Combinatorics through Tilings
      Thursday, August 5, 1:00pm - 2:50pm
      • James Sellers, Penn State University
      • Art Benjamin, Harvey Mudd College
        Jennifer Quinn, University of Washington Tacoma Brigitte Servatius, Worcester Polytechnic Institute Bruce Sagan, Michigan State University and National Science Foundation

    137. SpringerLink - Geometriae Dedicata
    This journal concentrates on geometry and its relationship to topology, group theory, and the theory of dynamic systems. Tables of contents. Full text to subscribers.
    Username Password Remember Me Forgot your Password? Register Now Log In via Shibboleth or Athens
    SpringerLink ... Choose preferred language English Deutsch SpringerLink You have Guest access. What can I do as a guest? Search Basic Search Search For All Content Author or Editor Publication Volume Issue Page Advanced Search Content Search For Full Text Title Only DOI Author Editor Citation Publication (Title, DOI ISSN or ISBN Volume Issue Page Category and Date Limiters Content Category All Categories Only Journals Only Books Only Protocols Entire Range of Publication Dates Select date range Publication Dates Between Start Date AND End Date Order of Results Most Relevant First Most Recently Published First Alphabetical

    138. International Society For Mathematical And Computational Aesthetics
    Detail and analysis on the development of CAD and other influences in contemporary design. A division of the International Society for Group Theory in Cognitive Science. Contact information.
    International Society for
    Society President: Michael Leyton (USA) The computational analysis of design is now a enormous discipline involving the interaction of high-level mathematics with advanced programming technologies. All design attempts to satisfy two constraints: functionality and aesthetics. Even a discipline as functionally oriented as structural engineering, in fact, involves aesthetic control over systems of non-linear equations. Aesthetics allows for (1) productive unification of perception, reasoning, and action, (2) understandability despite complexity, (3) generalization and re-usability, (4) axiomatic economy and principled prediction. Aesthetics is a major force in each of the following areas: Computer-Aided Design and Manufacturing, Robot Motion Design: There has been considerable convergence in mathematics across the different types of CAD (e.g., in architecture and mechanical design), as well as manufacturing by shape-sculpting technology, and robot motion design. We note that Frank Gehry's Guggenheim museum at Bilbao was possible because James Glymph imported into architecture a major program designed by the French for aerospace engineering. The reason for the converging unity is that each of the several disciplines involves analysis of spatial systems of movement, control, and shape deformation - whose natural description is Lie algebras, tensor geometry with exterior differential calculus, and algebraic geometry.

    139. Gruppentheorie
    Eine kurze Einf hrung in die Gruppentheorie mit den wichtigsten Definitionen und Beispielen.

    Andreas Slateff

    140. Edmund Robertson's Personal Home Page
    University of St Andrews. Computational group theory, computational semigroup theory and algebra in general. Papers, seminars, teaching material and software.
    Edmund Robertson's Personal Home Page
    I am Professor Emeritus of Mathematics at the University of St Andrews. A brief CV may be found here
    I ended a four year term as Head of the School of Mathematics and Statistics at the end of July 2001. I retired at the end of September 2008. School of Mathematics and Statistics
    My research interests are in computational group theory, computational semigroup theory and algebra in general. I am a member of the St Andrews GAP team, CIRCA , and the algebra group
    Recent Publications
    ....may be found here There is a list of abstracts of some of these papers here Pure Mathematics Courses History Seminar GAP Seminar ... Galway 2007
    GAP material
    ....may be found here
    Postgraduate Students
    At present I supervise (or am joint supervisor of) nine postgraduate students. Alan Cain Ian Durham Morteza Jafarpour Elizabeth Kimber Catarina Carvalho Maja Waldhausen Nelson Silva ... Dale Sutherland Paul von Buenau
    In 2007-2008 I am teaching History of Mathematics to honours students, and linear algebra and algebra to second year students. Here are the lecture notes for the algebra part of MT2002 . Here a pdf version of the lecture notes for the algebra part of MT2002
    Teaching Software
    I am one of the two developers of the Mathematical MacTutor software. This software has received a number of

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