Hyperbolically embedded subgroups and quasi-isometries of pairs

被引：1

作者：

Hughes, Sam ^{[1
]}

Martinez-Pedroza, Eduardo ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Andrew Wiles Bldg, Oxford OX2 6GG, England

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2023年 / 66卷 / 03期

基金：

欧盟地平线“2020”; 欧洲研究理事会; 英国工程与自然科学研究理事会; 加拿大自然科学与工程研究理事会;

关键词：

Quasi-isometries of pairs; hyperbolically embedded subgroups; acylindrically hyperbolic group; GEOMETRY; RIGIDITY;

D O I：

10.4153/S0008439523000012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolically embedded. We consider applications to the quasi-isometry and commensurability invariance of acylindrical hyperbolicity of finitely generated groups.

引用

页码：827 / 843

页数：17

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