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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aRelatively hyperbolic groups $eintrinsic geometry, algebraic properties, and algorithmic problems /$fDenis V. Osin
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2006.
215   $a1 online resource (114 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 843
300   $a"Volume 179, number 843 (second of 5 numbers)."
311   $a0-8218-3821-0 
320   $aIncludes bibliographical references.
327   $a""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 quasia???geodesics""
327   $a""3.3. Geodesic triangles in Cayley graphs""""3.4. Symmetric geodesies""; ""Chapter 4. Algebraic properties""; ""4.1. Elements of finite order""; ""4.2. Relatively quasia???convex subgroups""; ""4.3. Cyclic subgroups and translation numbers""; ""Chapter 5. Algorithmic problems""; ""5.1. The word and membership problems""; ""5.2. The parabolicity problems""; ""5.3. Algorithmic problems for hyperbolic elements""; ""Open questions""; ""Appendix. Equivalent definitions of relative hyperbolicity""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 843.
606   $aGeometric group theory
606   $aHyperbolic groups
608   $aElectronic books.
615  0$aGeometric group theory.
615  0$aHyperbolic groups.
676   $a510 s
676   $a512/.2
700   $aOsin$b Denis V.$f1974-$0963693
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996   $aRelatively hyperbolic groups$92185001
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