%0 Journal Article %T All finite groups are involved in the Mapping Class Group %A Gregor Masbaum %A Alan W. Reid %J Mathematics %D 2011 %I arXiv %R 10.2140/gt.2012.16.1393 %X 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 $\Gamma_g$. %U http://arxiv.org/abs/1106.4261v4