Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems - Couverture souple

Osin, Denis V.

 
9780821838211: Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems
Couverture souple
ISBN 10 : 0821838210 ISBN 13 : 9780821838211
Editeur : American Mathematical Society, 2005

Synopsis

In this paper we obtain an isoperimetric characterization of relatively hyperbolicity of a groups with respect to a collection of subgroups. This allows us to apply classical combinatorial methods related to van Kampen diagrams to obtain relative analogues of some well-known algebraic and geometric properties of ordinary hyperbolic groups. We also introduce and study the notion of a relatively quasi-convex subgroup of a relatively hyperbolic group and solve some natural algorithmic problems.

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Éditeur
American Mathematical Society
Date d'édition
2005
Langue
anglais
ISBN 10 
0821838210
ISBN 13 
9780821838211
Reliure
Broché
Nombre de pages
100
Coordonnées du fabricant
non disponible
Personne responsable
non disponible