Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems (Memoirs of the American Mathematical Society) - Softcover

Osin, Denis V.

Softcover

ISBN 10: 0821838210 ISBN 13: 9780821838211

Publisher: American Mathematical Society, 2006

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2006
• Language: English
• ISBN 10: 0821838210
• ISBN 13: 9780821838211
• Binding: Paperback
• Number of pages: 100