Relatively hyperbolic groups: geometry and quasi-isometric invariance
Relatively hyperbolic groups: geometry and quasi-isometric invariance
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相对双曲群：几何和拟等距不变性
DOI：
10.4171/cmh/171
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发表时间：
2006
影响因子：
0.9
通讯作者：
Cornelia Drutu
中科院分区：
文献类型：
--
作者：
Cornelia Drutu
本文证明了相对双曲性是拟等距不变量。作为副产品的参数，相对双曲性的简化定义。特别是，我们得到了一个新的定义非常相似的双曲性之一，依赖于存在的每一个准测地三角形的中心左陪集的周边子群。
In this paper it is proved that relative hyperbolicity is an invariant of quasi-isometry. As a byproduct of the arguments, simplified definitions of relative hyperbolicity are obtained. In particular we obtain a new definition very similar to the one of hyperbolicity, relying on the existence for every quasi-geodesic triangle of a central left coset of peripheral subgroup.