On the smallest non-trivial quotients of mapping class groups
We prove that the smallest non-trivial quotient of the mapping class group of a connected orientable surface of genus g >= 3 without punctures is Sp(2g)(2), thus confirming a conjecture of Zimmermann. In the process, we generalise Korkmaz's results on C-linear representations of mapping class groups to projective representations over any field.
14
2
489-512
489-512
European Mathematical Soc