Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups

被引：0

作者：

Cui, Yu-Miao ^{[2
]}

Jiang, Yue-Ping ^{[2
]}

Yang, Wen-Yuan ^{[1
]}

机构：

[1] Peking Univ, Beijing Int Ctr Math Res BICMR, 5 Yiheyuan Rd, Beijing, Peoples R China

[2] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF GROUP THEORY | 2022年 / 25卷 / 05期

基金：

中国国家自然科学基金;

关键词：

LIMIT GROUPS;

D O I：

10.1515/jgth-2021-0110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proves that, in a non-elementary relatively hyperbolic group, the logarithm growth rate of any non-elementary subgroup has a linear lower bound by the logarithm of the size of the corresponding generating set. As a consequence, any non-elementary subgroup has uniform exponential growth.

引用

页码：799 / 822

页数：24

共 41 条

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