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

Osin, Denis V.

 
9780821838211: Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems (Memoirs of the American Mathematical Society)
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.

"synopsis" may belong to another edition of this title.

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