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

Open Access

https://doi.org/10.1016/j.topol.2006.03.013

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Journal: Topology and its Applications	Publication Date: May 15, 2006
Citations: 46	License type: elsevier-specific: oa user license

Affiliation: University of Illinois Urbana-Champaign, The University of Texas at Austin

#Subgroups Of Mapping Class Groups #Handlebody Groups + Show 8 more

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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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