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Combinatorial and Geometric Group Theory

Dortmund and Ottawa-Montreal conferences

  • Conference proceedings
  • © 2010

Overview

Editors:
  1. Oleg Bogopolski

    1. Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, Düsseldorf, Germany

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  2. Inna Bumagin

    1. School of Mathematics and Statistics, Carleton University, Ottawa, Canada

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  3. Olga Kharlampovich

    1. Department of Mathematics and Statistics, McGill University, Montreal, Canada

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  4. Enric Ventura

    1. Departament de Matematica Aplicada III, EPSEM — Universitat Politècnica de Catalunya, Manresa, Barcelona, Spain

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  • Interesting articles about a very modern and active field of mathematics
  • Representation of different aspects of modern geometrical and combinatorial group theory: from group actions on spaces to algorithmic problems passing through cryptography applications
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-viii
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  2. Subgroups of Small Index in Aut(F n ) and Kazhdan’s Property (T)

    • O. Bogopolski, R. Vikentiev
    Pages 1-17

  3. Dynamics of Free Group Automorphisms

    • Peter Brinkmann
    Pages 19-53

  4. Geodesic Rewriting Systems and Pregroups

    • Volker Diekert, Andrew J. Duncan, Alexei G. Myasnikov
    Pages 55-91

  5. Regular Sets and Counting in Free Groups

    • Elizaveta Frenkel, Alexei G. Myasnikov, Vladimir N. Remeslennikov
    Pages 93-118

  6. Twisted Conjugacy for Virtually Cyclic Groups and Crystallographic Groups

    • Daciberg Gonçalves, Peter Wong
    Pages 119-147

  7. Solving Random Equations in Garside Groups Using Length Functions

    • Martin Hock, Boaz Tsaban
    Pages 149-169

  8. An Application of Word Combinatorics to Decision Problems in Group Theory

    • Arye Juhász
    Pages 171-202

  9. Equations and Fully Residually Free Groups

    • Olga Kharlampovich, Alexei G. Myasnikov
    Pages 203-242

  10. The F N -action on the Product of the Two Limit Trees for an Iwip Automorphism

    • Martin Lustig
    Pages 243-250

  11. Mather Invariants in Groups of Piecewise-linear Homeomorphisms

    • Francesco Matucci
    Pages 251-260

  12. Algebraic Geometry over the Additive Monoid of Natural Numbers: Systems of Coefficient Free Equations

    • Pavel V. Morar, Artem N. Shevlyakov
    Pages 261-278

  13. Some Graphs Related to Thompson’s Group F

    • Dmytro Savchuk
    Pages 279-296

  14. Generating Tuples of Virtually Free Groups

    • Richard Weidmann
    Pages 297-305

  15. Limits of Thompson’s Group F

    • Roland Zarzycki
    Pages 307-315
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Keywords

Editors and Affiliations

  • Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, Düsseldorf, Germany

    Oleg Bogopolski

  • School of Mathematics and Statistics, Carleton University, Ottawa, Canada

    Inna Bumagin

  • Department of Mathematics and Statistics, McGill University, Montreal, Canada

    Olga Kharlampovich

  • Departament de Matematica Aplicada III, EPSEM — Universitat Politècnica de Catalunya, Manresa, Barcelona, Spain

    Enric Ventura

Bibliographic Information

  • Book Title: Combinatorial and Geometric Group Theory

  • Book Subtitle: Dortmund and Ottawa-Montreal conferences

  • Editors: Oleg Bogopolski, Inna Bumagin, Olga Kharlampovich, Enric Ventura

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-7643-9911-5

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-7643-9910-8Published: 22 June 2010

  • eBook ISBN: 978-3-7643-9911-5Published: 28 January 2011

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: VIII, 315

  • Topics: Group Theory and Generalizations

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