Profinite completions of Burnside-type quotients of surface groups
classification
🧮 math.GT
math.GR
keywords
groupsquotientssurfaceburnside-typecompletionsprofinitecharacteristicclass
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Using quantum representations of mapping class groups we prove that profinite completions of Burnside-type surface group quotients are not virtually prosolvable, in general. Further, we construct infinitely many finite simple characteristic quotients of surface groups.
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