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Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems
Denis V. Osin
其他書名
Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems
出版American Mathematical Soc., 2006
主題Mathematics / Geometry / Non-EuclideanMathematics / Group Theory
ISBN08218382109780821838211
URLhttp://books.google.com.hk/books?id=tunUCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋In this the authors obtain an isoperimetric characterization of relatively hyperbolicity of a groups with respect to a collection of subgroups. This allows them to apply classical combinatorial methods related to van Kampen diagrams to obtain relative analogues of some well-known algebraic and geometric properties of ordinary hyperbolic groups. There is also an introduction and study of the notion of a relatively quasi-convex subgroup of a relatively hyperbolic group and solve somenatural algorithmic problems.