Overview

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.

Full Product Details

Author:   Denis V. Osin
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   illustrated Edition
Volume:   No. 179
Weight:   0.215kg
ISBN:  

9780821838211

ISBN 10:   0821838210
Pages:   100
Publication Date:   30 December 2005
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   To order  
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