Separable subgroups of mapping class groups

Christopher J. Leininger, D. B. McReynolds

Research output: Contribution to journalArticlepeer-review


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
Issue number1
StatePublished - Jan 1 2007
Externally publishedYes


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

ASJC Scopus subject areas

  • Geometry and Topology


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