JournalsggdVol. 14, No. 2pp. 489–512

On the smallest non-trivial quotients of mapping class groups

  • Dawid Kielak

    Universität Bielefeld, Germany
  • Emilio Pierro

    Universität Bielefeld, Germany
On the smallest non-trivial quotients of mapping class groups cover
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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 g3g \geq 3 without punctures is Sp2g(2)_{2g}(2), thus confirming a conjecture of Zimmermann. In the process, we generalise Korkmaz’s results on C\mathbb C-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. 489–512

DOI 10.4171/GGD/552