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Sur les Groupes Hyperboliques d’après Mikhael Gromov de Etienne Ghys

Sur les Groupes Hyperboliques d’après Mikhael Gromov: Progress in Mathematics, cartea 83

Editat de Etienne Ghys, Pierre da la Harpe
en Limba Engleză Paperback – 1990
The theory of hyperbolic groups has its starting point in a fundamental paper by M. Gromov, published in 1987. These are finitely generated groups that share important properties with negatively curved Riemannian manifolds. 

This monograph is intended to be an introduction to part of Gromov's theory, giving basic definitions, some of the most important examples, various properties of hyperbolic groups, and an application to the construction of infinite torsion groups. The main theme is the relevance of geometric ideas to the understanding of finitely generated groups. In addition to chapters written by the editors, contributions by W. Ballmann, A. Haefliger, E. Salem, R. Strebel, and M. Troyanov are also included.

The book will be particularly useful to researchers in combinatorial group theory, Riemannian geometry, and theoretical physics, as well as post-graduate students interested in these fields. 
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Specificații

ISBN-13: 9780817635084
ISBN-10: 0817635084
Pagini: 287
Ilustrații: XI, 287 p.
Dimensiuni: 127 x 203 x 16 mm
Greutate: 0.31 kg
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Progress in Mathematics

Locul publicării:Boston, MA, United States

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Textul de pe ultima copertă

The theory of hyperbolic groups has its starting point in a fundamental paper by M. Gromov, published in 1987. These are finitely generated groups that share important properties with negatively curved Riemannian manifolds. 

This monograph is intended to be an introduction to part of Gromov's theory, giving basic definitions, some of the most important examples, various properties of hyperbolic groups, and an application to the construction of infinite torsion groups. The main theme is the relevance of geometric ideas to the understanding of finitely generated groups. In addition to chapters written by the editors, contributions by W. Ballmann, A. Haefliger, E. Salem, R. Strebel, and M. Troyanov are also included.

The book will be particularly useful to researchers in combinatorial group theory, Riemannian geometry, and theoretical physics, as well as post-graduate students interested in these fields.