Pulling back stability with applications to Out(Fn) and relatively hyperbolic groups: PULLING BACK STABILITY
Pulling back stability with applications to Out(Fn) and relatively hyperbolic groups: PULLING BACK STABILITY
复制标题
通过应用 Out(Fn) 和相对双曲群来拉回稳定性：拉回稳定性
DOI：
10.1112/jlms.12071
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Taylor, Samuel J.
中科院分区：
文献类型：
--
作者：
Aougab, Tarik;Durham, Matthew Gentry;Taylor, Samuel J.
我们证明了稳定性-一个强大的拟凸性质-拉下适当的行动适当的度量空间。这个结果有几个应用，包括映射类群的凸余紧子群和自由群的外自同构群都是稳定的。我们还刻画了相对双曲群的稳定性，其抛物子群具有线性发散。
We prove that stability — a strong quasiconvexity property — pulls back under proper actions on proper metric spaces. This result has several applications, including that convex cocompact subgroups of both mapping class groups and outer automorphism groups of free groups are stable. We also characterize stability in relatively hyperbolic groups whose parabolic subgroups have linear divergence.