arXiv:1106.4261 [math.GT]AbstractReferencesReviewsResources
All finite groups are involved in the Mapping Class Group
Published 2011-06-21, updated 2012-09-10Version 4
Let $\Gamma_g$ denote the orientation-preserving Mapping Class Group of the genus $g\geq 1$ closed orientable surface. In this paper we show that for fixed $g$, every finite group occurs as a quotient of a finite index subgroup of $\Gamma_g$.
Comments: This is the final version submitted to Geometry & Topology, and is almost identical with the published paper
Journal: Geometry & Topology 16 (2012) 1393 - 1411
Categories: math.GT
Keywords: finite index subgroup, finite group occurs, orientation-preserving mapping class group, closed orientable surface
Tags: journal article
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