Residual finiteness, QCERF and fillings of hyperbolic groups

被引：31

作者：

Agol, Ian ^{[1
]}

Groves, Daniel ^{[2
]}

Manning, Jason Fox ^{[3
]}

机构：

[1] Univ Calif Berkeley, Berkeley, CA 94720 USA

[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[3] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA

来源：

GEOMETRY & TOPOLOGY | 2009年 / 13卷

基金：

美国国家科学基金会;

关键词：

SUBGROUPS;

D O I：

10.2140/gt.2009.13.1043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if every hyperbolic group is residually finite, then every quasi-convex subgroup of every hyperbolic group is separable. The main tool is relatively hyperbolic Dehn filling.

引用

页码：1043 / 1073

页数：31

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