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arXiv · 1705.10223

On the smallest non-trivial quotients of mapping class groups

Dawid Kielak·Emilio Pierro
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Abstract

We prove that the smallest non-trivial quotient of the mapping class group of a connected orientable surface of genus at least 3 without punctures is $\mathrm{Sp}_{2g}(2)$, thus confirming a conjecture of Zimmermann. In the process, we generalise Korkmaz's results on $\mathbb{C}$-linear representations of mapping class groups to projective representations over any field.

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Dawid Kielak, Emilio Pierro. 2017-05-29. On the smallest non-trivial quotients of mapping class groups. https://doi.org/10.4171/ggd%2F552

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