Front Matter

Pages I-X

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Espaces métriques hyperboliques
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 1-15
Bord d'un espace hyperbolique
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 16-23
Quasi-géodésiques et quasi-isométries dans les espaces hyperboliques
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 24-42
Groupes hyperboliques
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 43-56
Le polyèdre Pd(X)
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 57-64
Inégalités isopérimétriques et espaces hyperboliques
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 65-80
Inégalités isopérimétriques : une application
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 81-89
Approximation par des arbres
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 90-96
Classification des isométries
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 97-105
Parties quasi-convexes d'un espace hyperbolique
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 106-123
Structure métrique sur le bord d'un espace hyperbolique
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 124-139
Automates et groupes hyperboliques
- Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Pages 140-158
Back Matter

Pages 159-165

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About this book

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.

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Bibliographic Information

Book Title: Geometrie et theorie des groupes
Book Subtitle: Les groupes hyperboliques de Gromov
Authors: Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0084913
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1990
Softcover ISBN: 978-3-540-52977-4Published: 12 September 1990
eBook ISBN: 978-3-540-46294-1Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 165
Topics: Group Theory and Generalizations, Algebraic Geometry

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Table of contents (12 chapters)

Front Matter

Back Matter