02810nam 2200553 450 991081909760332120170822144224.01-4704-0444-3(CKB)3360000000465027(EBL)3114210(SSID)ssj0000973873(PQKBManifestationID)11553856(PQKBTitleCode)TC0000973873(PQKBWorkID)10984725(PQKB)10084260(MiAaPQ)EBC3114210(RPAM)14114490(PPN)195417313(EXLCZ)99336000000046502720050920d2006 uy| 0engur|n|---|||||txtccrRelatively hyperbolic groups intrinsic geometry, algebraic properties, and algorithmic problems /Denis V. OsinProvidence, Rhode Island :American Mathematical Society,2006.1 online resource (114 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 843"Volume 179, number 843 (second of 5 numbers)."0-8218-3821-0 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;no. 843.Geometric group theoryHyperbolic groupsGeometric group theory.Hyperbolic groups.510 s512/.2Osin Denis V.1974-1632492MiAaPQMiAaPQMiAaPQBOOK9910819097603321Relatively hyperbolic groups3971671UNINA