A note on minimal finite quotients of mapping class groups
Geometric Topology
2008-03-24 v1 Group Theory
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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Cite
@article{arxiv.0803.3144,
title = {A note on minimal finite quotients of mapping class groups},
author = {Bruno P. Zimmermann},
journal= {arXiv preprint arXiv:0803.3144},
year = {2008}
}
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8 pages