| eBook ISBN: | 978-1-4704-0444-4 |
| Product Code: | MEMO/179/843.E |
| List Price: | $68.00 |
| MAA Member Price: | $61.20 |
| AMS Member Price: | $40.80 |
| eBook ISBN: | 978-1-4704-0444-4 |
| Product Code: | MEMO/179/843.E |
| List Price: | $68.00 |
| MAA Member Price: | $61.20 |
| AMS Member Price: | $40.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 179; 2006; 100 ppMSC: Primary 20
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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Table of Contents
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Chapters
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1. Introduction
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2. Relative isoperimetric inequalities
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3. Geometry of finitely generated relatively hyperbolic groups
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4. Algebraic properties
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5. Algorithmic problems
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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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Chapters
-
1. Introduction
-
2. Relative isoperimetric inequalities
-
3. Geometry of finitely generated relatively hyperbolic groups
-
4. Algebraic properties
-
5. Algorithmic problems
