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Record Nr. |
UNINA9910819097603321 |
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Autore |
Osin Denis V. <1974-> |
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Titolo |
Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems / / Denis V. Osin |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2006 |
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ISBN |
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Descrizione fisica |
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1 online resource (114 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 843 |
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Disciplina |
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Soggetti |
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Geometric group theory |
Hyperbolic groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 179, number 843 (second of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""1.1. Preliminary remarks""; ""1.2. Main results""; ""Chapter 2. Relative isoperimetric inequalities""; ""2.1. Relative presentations and length functions""; ""2.2. Geometry of van Kampen diagrams over relative presentations""; ""2.3. Relative Dehn functions""; ""2.4. Splitting Theorem for relatively finitely presented groups""; ""2.5. Isoperimetric functions of Cayley graphs""; ""Chapter 3. Geometry of finitely generated relatively hyperbolic groups""; ""3.1. Conventions and notation""; ""3.2. Properties of quasi�geodesics"" |
""3.3. Geodesic triangles in Cayley graphs""""3.4. Symmetric geodesies""; ""Chapter 4. Algebraic properties""; ""4.1. Elements of finite order""; ""4.2. Relatively quasi�convex subgroups""; ""4.3. Cyclic subgroups and translation numbers""; ""Chapter 5. Algorithmic problems""; ""5.1. The word and membership problems""; ""5.2. The parabolicity problems""; ""5.3. Algorithmic problems for hyperbolic elements""; ""Open questions""; ""Appendix. Equivalent definitions of relative hyperbolicity""; ""Bibliography"" |
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