Journal title
Groups, Geometry, and Dynamics
DOI
10.4171/GGD/552
Last updated
2024-03-30T19:46:18.733+00:00
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.
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.
Symplectic ID
1118449
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Publication type
Journal Article
Publication date
22 Jun 2020