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

Osin, Denis V.

 
9780821838211: Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems (Memoirs of the American Mathematical Society, Band 843)
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.

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Verlag
American Mathematical Society
Erscheinungsdatum
2006
Sprache
Englisch
ISBN 10 
0821838210
ISBN 13 
9780821838211
Einband
Taschenbuch
Anzahl der Seiten
100
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