Separable subgroups of mapping class groups

Christopher J. Leininger, D. B. McReynolds

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalTopology and its Applications
Volume154
Issue number1
DOIs
StatePublished - Jan 1 2007
Externally publishedYes

Keywords

  • Johnson filtration
  • Mapping class groups
  • Solvable subgroups
  • Subgroup separability

ASJC Scopus subject areas

  • Geometry and Topology

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