Pulling back stability with applications to Out(Fn) and relatively hyperbolic groups

被引：14

作者：

Aougab, Tarik ^{[1
]}

Durham, Matthew Gentry ^{[2
]}

Taylor, Samuel J. ^{[3
]}

机构：

[1] Brown Univ, Dept Math, 151 Thayer, Providence, RI 02912 USA

[2] Yale Univ, Dept Math, 10 Hillhouse Ave, New Haven, CT 06511 USA

[3] Temple Univ, Dept Math, 1805 North Broad St, Temple, TX 19122 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2017年 / 96卷

基金：

美国国家科学基金会;

关键词：

MAPPING CLASS-GROUPS; CONVEX COCOMPACTNESS; OUTER-SPACE; PROJECTIONS; GEODESICS;

D O I：

10.1112/jlms.12071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：565 / 583

页数：19

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