The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Groups, Geometry, and Dynamics


Full-Text PDF (275 KB) | Metadata | Table of Contents | GGD summary
Volume 14, Issue 2, 2020, pp. 489–512
DOI: 10.4171/GGD/552

Published online: 2020-06-22

On the smallest non-trivial quotients of mapping class groups

Dawid Kielak[1] and Emilio Pierro[2]

(1) Universität Bielefeld, Germany
(2) Universität Bielefeld, Germany

We prove that the smallest non-trivial quotient of the mapping class group of a connected orientable surface of genus $g \geq 3$ without punctures is 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.

Keywords: Mapping class groups, finite quotients, projective representations

Kielak Dawid, Pierro Emilio: On the smallest non-trivial quotients of mapping class groups. Groups Geom. Dyn. 14 (2020), 489-512. doi: 10.4171/GGD/552