Géométrie et théorie des groupes

Les groupes hyperboliques de Gromov

  • Authors
  • Michel Coornaert
  • Thomas Delzant
  • Athanase Papadopoulos

Part of the Lecture Notes in Mathematics book series (LNM, volume 1441)

Table of contents

  1. Front Matter
    Pages I-X
  2. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 1-15
  3. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 16-23
  4. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 24-42
  5. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 43-56
  6. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 57-64
  7. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 65-80
  8. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 81-89
  9. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 90-96
  10. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 97-105
  11. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 106-123
  12. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 124-139
  13. Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
    Pages 140-158
  14. Back Matter
    Pages 159-165

About this book

Introduction

The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups. It contains complete proofs of some basic theorems which are due to Gromov, and emphasizes some important developments on isoperimetric inequalities, automatic groups, and the metric structure on the boundary of a hyperbolic space.

Keywords

Combinatorial group theory Hyperbolic group Hyperbolic space Isoperimetric inequality Negative Curvature

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084913
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52977-4
  • Online ISBN 978-3-540-46294-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book