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Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems / / Denis V. Osin
| Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems / / Denis V. Osin |
| Autore | Osin Denis V. <1974-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2006 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Hyperbolic groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0444-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910480525503321 |
Osin Denis V. <1974->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems / / Denis V. Osin
| Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems / / Denis V. Osin |
| Autore | Osin Denis V. <1974-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2006 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Hyperbolic groups |
| ISBN | 1-4704-0444-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910788740603321 |
|
Osin Denis V. <1974->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems / / Denis V. Osin
| Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems / / Denis V. Osin |
| Autore | Osin Denis V. <1974-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2006 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Hyperbolic groups |
| ISBN | 1-4704-0444-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910819097603321 |
|
Osin Denis V. <1974->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||