All finite groups are involved in the Mapping Class Group

Details All finite groups are involved in the Mapping Class Group All finite groups are involved in the Mapping Class Group

2011-06-21

arxiv.org/abs/1106.4261v3

Mathematics

Geometric Topology

12 pages. v2: In Version 2 of the paper we remove part of Section 3 of Version 1 of the paper which is not logically needed fo

Scientific paper

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
$\Gamma_g$.

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