Product set growth in groups and hyperbolic geometry

被引：6

作者：

Delzant, Thomas ^{[1
,2
]}

Steenbock, Markus ^{[3
,4
]}

机构：

[1] Univ Strasbourg, IRMA, F-67000 Strasbourg, France

[2] CNRS, F-67000 Strasbourg, France

[3] Univ Rennes, IRMAR, F-35000 Rennes, France

[4] CNRS, F-35000 Rennes, France

来源：

JOURNAL OF TOPOLOGY | 2020年 / 13卷 / 03期

基金：

奥地利科学基金会; 欧盟地平线“2020”;

关键词：

20F65 (primary); 20F67; 20E08; 20F70 (secondary); ACYLINDRICAL ACCESSIBILITY; QUOTIENTS; SUBGROUPS;

D O I：

10.1112/topo.12156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalising results of Razborov and Safin, and answering a question of Button, we prove that for every hyperbolic group there exists a constant alpha>0such that for every finite subsetUthat is not contained in a virtually cyclic subgroup|Un|>(alpha|U|)[(n+1)/2]. Similar estimates are established for groups acting acylindrically on trees or hyperbolic spaces.

引用

页码：1183 / 1215

页数：33

共 25 条

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