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Arboreal Group Theory

Proceedings of a Workshop Held September 13–16, 1988

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. Roger C. Alperin

    1. Department of Mathematics and Computer Science, San Jose State University, San Jose, USA
      Mathematical Sciences Research Institute, Berkeley, USA

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Part of the book series: Mathematical Sciences Research Institute Publications (MSRI, volume 19)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Growth functions of amalgams

    • Juan M. Alonso
    Pages 1-34

  3. On a Problem Raised by Alperin and Bass

    • Şerban A. Basarab
    Pages 35-68

  4. Group Actions on Non-Archimedean Trees

    • Hyman Bass
    Pages 69-131

  5. A Counterexample to Generalized Accessibility

    • Mladen Bestvina, Mark Feighn
    Pages 133-141

  6. Geodesic currents on negatively curved groups

    • Francis Bonahon
    Pages 143-168

  7. Pregroups and Lyndon Length Functions

    • I. M. Chiswell
    Pages 169-181

  8. ℝ-Tree Actions are Not Determined by the Translation Lengths of Finitely Many Elements

    • M. M. Cohen, M. Lustig, M. Steiner
    Pages 183-187

  9. The Boundary of Outer Space in Rank Two

    • Marc Culler, Karen Vogtmann
    Pages 189-230

  10. Cohomological dimension of groups acting on ℝ-trees

    • H. Gillet, P. Shalen
    Pages 231-250

  11. Branch Points and Free Actions On ℝ-Trees

    • Renfang Jiang
    Pages 251-293

  12. Axioms for Translation Length Functions

    • Walter Parry
    Pages 295-330

  13. Outer Automorphisms of Hyperbolic Groups and Small Actions on ℝ-Trees

    • Frédéric Paulin
    Pages 331-343

  14. The Structure of Promislow’s Continuous Free Product

    • Frank Rimlinger
    Pages 345-354

  15. Foldings of G-trees

    • John R. Stallings
    Pages 355-368
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Keywords

About this book

During the week of September 13, 1988 the Mathematical Sciences Research Institute hosted a four day workshop on Arboreal Group Theory. This volume is the product of that meeting. The program centered on the topic of the theory of groups acting on trees and the various applications to hyperbolic geometry. Topics include the theory of length functions, structure of groups acting freely on trees, spaces of hyperbolic structures and their compactifications, and moduli for tree actions.

Editors and Affiliations

  • Department of Mathematics and Computer Science, San Jose State University, San Jose, USA

    Roger C. Alperin

  • Mathematical Sciences Research Institute, Berkeley, USA

    Roger C. Alperin

Bibliographic Information

  • Book Title: Arboreal Group Theory

  • Book Subtitle: Proceedings of a Workshop Held September 13–16, 1988

  • Editors: Roger C. Alperin

  • Series Title: Mathematical Sciences Research Institute Publications

  • DOI: https://doi.org/10.1007/978-1-4612-3142-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1991

  • Hardcover ISBN: 978-0-387-97518-4Due: 18 April 1991

  • Softcover ISBN: 978-1-4612-7811-5Published: 01 October 2011

  • eBook ISBN: 978-1-4612-3142-4Published: 06 December 2012

  • Series ISSN: 0940-4740

  • Edition Number: 1

  • Number of Pages: X, 368

  • Topics: Group Theory and Generalizations

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