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Mapping class groups are not linear in positive characteristic

Published 26 Oct 2016 in math.GR and math.GT | (1610.08464v1)

Abstract: For $\Sigma$ an orientable surface of finite topological type having genus at least 3 (possibly closed or possibly with any number of punctures or boundary components), we show that the mapping class group $Mod(\Sigma)$ has no faithful linear representation in any dimension over any field of positive characteristic.

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