Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems (Memoirs of the American Mathematical Society, Band 843) - Softcover

Osin, Denis V.

Softcover

ISBN 10: 0821838210 ISBN 13: 9780821838211

Verlag: American Mathematical Society, 2006

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2006
• Sprache: Englisch
• ISBN 10: 0821838210
• ISBN 13: 9780821838211
• Einband: Taschenbuch
• Anzahl der Seiten: 100
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Mare Nostrum Group B.V.; gpsr@mare-nostrum.co.uk; ; Doelen 72; Breda; 4831 GR; Niederlande