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arXiv · 0803.3144

A note on minimal finite quotients of mapping class groups

Bruno P. Zimmermann
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Abstract

We prove that the minimal nontrivial finite quotient group of the mapping class group M_g of a closed orientable surface of genus g is the symplectic group PSp(2g,Z_2), for g = 3 and 4 (this might remain true, however, for arbitrary genus g > 2). We discuss also some results for arbitrary genus g.

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Bruno P. Zimmermann. 2008-03-21. A note on minimal finite quotients of mapping class groups. https://arxiv.org/abs/0803.3144

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