On quasiconvex subgroups of word hyperbolic groups

被引：28

作者：

Arzhantseva, GN ^{[1
]}

机构：

[1] Univ Geneva, Sect Math, CH-1211 Geneva 24, Switzerland

来源：

GEOMETRIAE DEDICATA | 2001年 / 87卷 / 1-3期

关键词：

word hyperbolic groups; quasiconvex subgroups; commensurator;

D O I：

10.1023/A:1012040207144

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a quasiconvex subgroup H of infinite index of a torsion free word hyperbolic group can be embedded in a larger quasiconvex subgroup which is the free product of H and an infinite cyclic group. Some properties of quasiconvex subgroups of word hyperbolic group are also discussed.

引用

页码：191 / 208

页数：18

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