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. - In: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. - ISSN 0035-7596. - STAMPA. - 42, 2012:Number 4(2012), pp. 1411-1420. [10.1216/RMJ-2012-42-4-1411]
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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