Geometrie et theorie des groupes
Les groupes hyperboliques de Gromov
Series: Lecture Notes in Mathematics; 1441;
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Edition number 1990
- Publisher Springer
- Date of Publication 12 September 1990
- Number of Volumes 1 pieces, Book
- ISBN 9783540529774
- Binding Paperback
- No. of pages165 pages
- Size 235x155 mm
- Weight 590 g
- Language French
- Illustrations X, 165 p. 0
Categories
Long description:
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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Table of Contents:
Espaces métriques hyperboliques.- Bord d'un espace hyperbolique.- Quasi-géodésiques et quasi-isométries dans les espaces hyperboliques.- Groupes hyperboliques.- Le poly?dre Pd(X).- Inégalités isopérimétriques et espaces hyperboliques.- Inégalités isopérimétriques : une application.- Approximation par des arbres.- Classification des isométries.- Parties quasi-convexes d'un espace hyperbolique.- Structure métrique sur le bord d'un espace hyperbolique.- Automates et groupes hyperboliques.
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