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We prove that the smallest non-trivial quotient of the mapping class group of a connected orientable surface of genus without punctures is Sp, thus confirming a conjecture of Zimmermann. In the process, we generalise Korkmaz’s results on -linear representations of mapping class groups to projective representations over any field.
Cite this article
Dawid Kielak, Emilio Pierro, On the smallest non-trivial quotients of mapping class groups. Groups Geom. Dyn. 14 (2020), no. 2, pp. 489–512DOI 10.4171/GGD/552