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AuthorCoornaert, Michel. author
TitleGรฉomรฉtrie et thรฉorie des groupes [electronic resource] : Les groupes hyperboliques de Gromov / by Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1990
Connect tohttp://dx.doi.org/10.1007/BFb0084913
Descript X, 165 p. online resource

SUMMARY

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


CONTENT

Espaces mรฉtriques hyperboliques -- Bord d'un espace hyperbolique -- Quasi-gรฉodรฉsiques et quasi-isomรฉtries dans les espaces hyperboliques -- Groupes hyperboliques -- Le polyรจdre Pd(X) -- Inรฉgalitรฉs isopรฉrimรฉtriques et espaces hyperboliques -- Inรฉgalitรฉs isopรฉrimรฉtriques : une application -- Approximation par des arbres -- Classification des isomรฉtries -- Parties quasi-convexes d'un espace hyperbolique -- Structure mรฉtrique sur le bord d'un espace hyperbolique -- Automates et groupes hyperboliques


Mathematics Algebraic geometry Group theory Mathematics Group Theory and Generalizations Algebraic Geometry



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