Extended Abstracts Fall 2012

1. Front Matter

   Pages i-x

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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

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.

• Hausforff dimension
• Whitehead graphs
• abelian group
• automorphisms

• 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

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