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Extended Abstracts Fall 2012

Automorphisms of Free Groups

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Juan González-Meneses

    1. Universidad de Sevilla, Sevilla, Spain

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  2. Martin Lustig

    1. LATP, Université Aix-Marseille III, Marseille, France

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  3. Enric Ventura

    1. Universitat Politècnica de Catalunya Fac. Matemàtica i Estadística, Barcelona, Spain

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  • Short articles (extended abstracts) presenting the newest research in an active area of Group Theory
  • Offers a preview on articles that might appear in top research journals
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM, volume 1)

Part of the book sub series: Research Perspectives CRM Barcelona (RPCRMB)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Tits Alternatives for Graph Products

    • Yago Antolín
    Pages 1-5

  3. Asymptotic Approximations of Finitely Generated Groups

    • Goulnara Arzhantseva
    Pages 7-15

  4. An Efficient Algorithm for Finding a Basis of the Fixed Point Subgroup of an Automorphism of a Free Group

    • Oleg Bogopolski, Olga Maslakova
    Pages 17-23

  5. Metric Properties and Distortion in Nilpotent Groups

    • José Burillo, Eric López Platón
    Pages 25-27

  6. Coset Intersection Graphs, and Transversals as Generating Sets for Finitely Generated Groups

    • Jack Button, Maurice Chiodo, Mariano Zeron-Medina Laris
    Pages 29-33

  7. Whitehead Problems for Words in

    • Jordi Delgado
    Pages 35-38

  8. Hausdorff Dimension and the Abelian Group Structure of Some Groups Acting on the p-Adic Tree

    • Gustavo A. Fernández-Alcober, Olivier Siegenthaler, Amaia Zugadi-Reizabal
    Pages 39-43

  9. Thompson’s Group T, Undistorted Free Groups and Automorphisms of the Flip Graph

    • Ariadna Fossas
    Pages 45-49

  10. Geometric Techniques in Braid Groups

    • Juan González-Meneses
    Pages 51-55

  11. Induced Automorphisms

    • Vincent Guirardel, Gilbert Levitt
    Pages 57-58

  12. Dual Automorphisms of Free Groups

    • Fedaa Ibrahim, Martin Lustig
    Pages 59-62

  13. Effective Algebraic Detection of the Nielsen–Thurston Classification of Mapping Classes

    • Thomas Koberda, Johanna Mangahas
    Pages 63-65

  14. Tree-Irreducible Automorphisms of Free Groups

    • Martin Lustig
    Pages 67-71

  15. Presentations for the Mapping Class Groups of Nonorientable Surfaces

    • Luis Paris
    Pages 73-76

  16. Ideal Whitehead Graphs in Out(F r )

    • Catherine Pfaff
    Pages 77-81

  17. Reflections on Computer Experiments with Automorphisms of Free Groups

    • Paul Schupp
    Pages 83-89

  18. Orbit Decidability, Applications and Variations

    • Enric Ventura
    Pages 91-95
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Keywords

About this book

This volume features seventeen extended conference abstracts corresponding to selected talks given by participants at the CRM research program “Automorphisms of Free Groups: Algorithms, Geometry and Dynamics”, which took place at the Centre de Recerca Matemàtica in Barcelona in fall 2012. Most of them are short articles giving preliminary presentations of new results not yet published in regular research journals. The articles are the result from a direct collaboration among active researchers in the area after working in a dynamic and productive atmosphere. The book is intended for established researchers in the area of Group Theory, as well as for PhD and postdoc students who wish to learn more about the latest advances in this active area of research.

Editors and Affiliations

  • Universidad de Sevilla, Sevilla, Spain

    Juan González-Meneses

  • LATP, Université Aix-Marseille III, Marseille, France

    Martin Lustig

  • Universitat Politècnica de Catalunya Fac. Matemàtica i Estadística, Barcelona, Spain

    Enric Ventura

Bibliographic Information

  • Book Title: Extended Abstracts Fall 2012

  • Book Subtitle: Automorphisms of Free Groups

  • Editors: Juan González-Meneses, Martin Lustig, Enric Ventura

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-05488-9

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Softcover ISBN: 978-3-319-05487-2Published: 07 August 2014

  • eBook ISBN: 978-3-319-05488-9Published: 24 July 2014

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: X, 95

  • Number of Illustrations: 6 b/w illustrations

  • Topics: Group Theory and Generalizations

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