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arXiv:0803.3144 [math.GT]AbstractReferencesReviewsResources

A note on minimal finite quotients of mapping class groups

Bruno P. Zimmermann

Published 2008-03-21Version 1

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.

Comments: 8 pages
Categories: math.GT, math.GR
Subjects: 57M99, 20F34
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