A note on minimal finite quotients of mapping class groups

Details A note on minimal finite quotients of mapping class groups A note on minimal finite quotients of mapping class groups

2008-03-21

arxiv.org/abs/0803.3144v1

Mathematics

Geometric Topology

8 pages

Scientific paper

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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