product iamge

Géométrie et théorie des groupes: Les groupes hyperboliques de Gromov

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Download
Search on Amazon

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

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.

Author(s): Michel Coornaert, Thomas Delzant, Athanase Papadopoulos (auth.)
Series: Lecture Notes in Mathematics 1441
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1990

Language: French
Pages: 165
Tags: Group Theory and Generalizations; Algebraic Geometry

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