On the smallest non-trivial quotients of mapping class groups
type: Item
instance of: scholarly article
title: On the smallest non-trivial quotients of mapping class groups
DOI: 10.4171/GGD/552
author: Dawid Kielak
author: Emilio Pierro
published in: Groups, Geometry, and Dynamics
publication date: 2020-08-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1705.10223
review text: Summary: 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 \(\text{Sp}_{2g}(2)\), 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.
Mathematics Subject Classification ID: 57K20
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20D05
Mathematics Subject Classification ID: 20E26
zbMATH DE Number: 7227235
zbMATH Keywords: mapping class groups
zbMATH Keywords: finite quotients
zbMATH Keywords: projective representations
describes a project that uses: GAP
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7227235