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Geometric Group Theory

Geneva and Barcelona Conferences

  • Conference proceedings
  • © 2007

Overview

Editors:
  1. Goulnara N. Arzhantseva

    1. Section de mathématiques, Université de Genève, Genève 4, Switzerland

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  2. José Burillo

    1. Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya Escola Politècnica Superior de Castelldefels Avda, Castelldefels (Barcelona), Spain

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  3. Laurent Bartholdi

    1. Institut de Mathématiques B (IMB), École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland

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  4. Enric Ventura

    1. Department of Applied Mathematics III Escola Politècnica Superior d’Enginyeria de Manresa, Universitat Politècnica de Catalunya, Manresa / Barcelona, Spain

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  • Contains contributions from experts in geometric and combinatorial group theory, most of which were present at the Geneva and Barcelona conferences in 2005
  • Above the diversity of the articles included in this volume reigns a strong unity of themes and purposes: understanding geometrical and logical objects through their symmetries
  • Witnesses to the power of group theory as a language for expressing, communicating and solving problems throughout mathematics
  • Contains particularly two articles by A. Juhász on the solution of the membership problem for Magnus subgroups and on the solution of the conjugacy problem and malnormality of subgroups
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (12 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Totally Disconnected, Locally Compact Groups as Geometric Objects

    • Udo Baumgartner
    Pages 1-20

  3. Computational Explorations in Thompson’s Group F

    • José Burillo, Sean Cleary, Bert Wiest
    Pages 21-35

  4. On the Surjunctivity of Artinian Linear Cellular Automata over Residually Finite Groups

    • Tullio Ceccherini-Silberstein, Michel Coornaert
    Pages 37-44

  5. Some Residually Finite Groups Satisfying Laws

    • Yves de Cornulier, Avinoam Mann
    Pages 45-50

  6. Classifying Spaces for Wallpaper Groups

    • Ramón J. Flores
    Pages 51-64

  7. A General Construction of JSJ Decompositions

    • Vincent Guirardel, Gilbert Levitt
    Pages 65-73

  8. Décompositions de Groupes par Produit Direct et Groupes de Coxeter

    • Yves de Cornulier, Pierre de la Harpe
    Pages 75-102

  9. Limit Groups of Equationally Noetherian Groups

    • Abderezak Ould Houcine
    Pages 103-119

  10. Solution of the Conjugacy Problem and Malnormality of Subgroups in Certain Relative Small Cancellation Group Presentations

    • Arye Juhász
    Pages 121-168

  11. Solution of the Membership Problem for Magnus Subgroups in Certain One-Relator Free Products

    • Arye Juhász
    Pages 169-195

  12. Conjugacy and Centralizers for Iwip Automorphisms of Free Groups

    • Martin Lustig
    Pages 197-224

  13. Algebraic Extensions in Free Groups

    • Alexei Miasnikov, Enric Ventura, Pascal Weil
    Pages 225-253
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Keywords

About this book

This volume assembles research papers in geometric and combinatorial group theory. This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein’s programme.

The contributions range over a wide spectrum: limit groups, groups associated with equations, with cellular automata, their structure as metric objects, their decomposition, etc. Their common denominator is the language of group theory, used to express and solve problems ranging from geometry to logic.

Editors and Affiliations

  • Section de mathématiques, Université de Genève, Genève 4, Switzerland

    Goulnara N. Arzhantseva

  • Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya Escola Politècnica Superior de Castelldefels Avda, Castelldefels (Barcelona), Spain

    José Burillo

  • Institut de Mathématiques B (IMB), École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland

    Laurent Bartholdi

  • Department of Applied Mathematics III Escola Politècnica Superior d’Enginyeria de Manresa, Universitat Politècnica de Catalunya, Manresa / Barcelona, Spain

    Enric Ventura

Bibliographic Information

  • Book Title: Geometric Group Theory

  • Book Subtitle: Geneva and Barcelona Conferences

  • Editors: Goulnara N. Arzhantseva, José Burillo, Laurent Bartholdi, Enric Ventura

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-7643-8412-8

  • Publisher: Birkhäuser Basel

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

  • Copyright Information: Birkhäuser Basel 2007

  • Hardcover ISBN: 978-3-7643-8411-1Published: 19 July 2007

  • eBook ISBN: 978-3-7643-8412-8Published: 24 September 2007

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: VII, 256

  • Topics: Group Theory and Generalizations

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