Separable subgroups of mapping class groups

Christopher J. Leininger; D. B. McReynolds

doi:10.1016/j.topol.2006.03.013

Separable subgroups of mapping class groups

Christopher J. Leininger, D. B. McReynolds

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	1-10
Number of pages	10
Journal	Topology and its Applications
Volume	154
Issue number	1
DOIs	https://doi.org/10.1016/j.topol.2006.03.013
State	Published - Jan 1 2007

Keywords

Johnson filtration
Mapping class groups
Solvable subgroups
Subgroup separability

ASJC Scopus subject areas

Geometry and Topology

Online availability

10.1016/j.topol.2006.03.013

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title = "Separable subgroups of mapping class groups",

abstract = "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.",

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AB - 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.

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KW - Mapping class groups

KW - Solvable subgroups

KW - Subgroup separability

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Separable subgroups of mapping class groups

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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