Doubles of groups and hyperbolic LERF 3-manifolds

被引：19

作者：

Gitik, R ^{[1
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

来源：

ANNALS OF MATHEMATICS | 1999年 / 150卷 / 03期

关键词：

D O I：

10.2307/121056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the quasiconvex subgroups in doubles of certain negatively curved groups are closed in the profinite topology. This allows us to construct the first known large family of hyperbolic 3-manifolds such that any finitely generated subgroup of the fundamental group of any member of the family is closed in the profinite topology.

引用

页码：775 / 806

页数：32

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