Growth of periodic quotients of hyperbolic groups

被引：4

作者：

Coulon, Remi ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2013年 / 13卷 / 06期

关键词：

SUBGROUPS;

D O I：

10.2140/agt.2013.13.3111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a non-elementary torsion-free hyperbolic group. We prove that the exponential growth rate of the periodic quotient G/G(n) tends to the one of G as n odd approaches infinity. Moreover, we provide an estimate for the rate at which the convergence is taking place.

引用

页码：3111 / 3133

页数：23

共 22 条

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