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Item Details
| Title:
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RELATIVELY HYPERBOLIC GROUPS
INTRINSIC GEOMETRY, ALGEBRAIC PROPERTIES, AND ALGORITHMIC PROBLEMS |
| By: |
Denis V. Osin |
| Format: |
Paperback |
| List price:
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£67.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821838210 |
| ISBN 13: |
9780821838211 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 December, 2005 |
| Edition: |
Illustrated edition |
| Series: |
Memoirs of the American Mathematical Society No. 179 |
| Pages: |
100 |
| Description: |
Presents an isoperimetric characterization of relatively hyperbolicity of a groups with respect to a collection of subgroups. This book 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. |
| 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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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