1.

Record Nr.

UNINA9910819097603321

Autore

Osin Denis V. <1974->

Titolo

Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems / / Denis V. Osin

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2006

ISBN

1-4704-0444-3

Descrizione fisica

1 online resource (114 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 843

Disciplina

510 s

512/.2

Soggetti

Geometric group theory

Hyperbolic groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 179, number 843 (second of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

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""