On the smallest non-trivial quotients of mapping class groups (Q784891)
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scientific article; zbMATH DE number 7227235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the smallest non-trivial quotients of mapping class groups |
scientific article; zbMATH DE number 7227235 |
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On the smallest non-trivial quotients of mapping class groups (English)
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3 August 2020
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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.
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mapping class groups
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finite quotients
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projective representations
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