Separable subgroups of mapping class groups

被引：10

作者：

Leininger, Christopher J.

McReynolds, D. B.

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 01期

关键词：

Johnson filtration; mapping class groups; subgroup separability; solvable subgroups;

D O I：

10.1016/j.topol.2006.03.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate separability questions for the mapping class group of a surface. While this group is not subgroup separable in general, we prove a large family of interesting subgroups are separable. This includes many classically studied subgroups such as solvable subgroups, Heegaard and Handlebody groups, geometric subgroups, and all the terms in the Johnson filtration. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1 / 10

页数：10

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