We prove that t he minimaal nontrivial finite quotient group of the mapping class group 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 also discuss some results for arbitrary genus g.
On minimal finite quotients of mapping class groups
ZIMMERMANN, BRUNO
2012-01-01
Abstract
We prove that t he minimaal nontrivial finite quotient group of the mapping class group 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 also discuss some results for arbitrary genus g.File in questo prodotto:
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