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; 欧盟地平线“2020”;
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.
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页码：827 / 843
页数：17
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