Open AccessOn minimal finite quotients of mapping class groups
Author(s) -
Bruno Zimmermann
Publication year - 2012
Publication title -
the rocky mountain journal of mathematics/rocky mountain journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.374
H-Index - 42
eISSN - 1945-3795
pISSN - 0035-7596
DOI - 10.1216/rmj-2012-42-4-1411
Subject(s) - mathematics , quotient , class (philosophy) , pure mathematics , algebra over a field , discrete mathematics , combinatorics , artificial intelligence , computer science
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