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Smallest nonabelian quotients of surface braid groups
Published 5 Jan 2023 in math.GT and math.GR | (2301.01872v3)
Abstract: We give a sharp lower bound on the size of nonabelian quotients of the surface braid group $B_n(\Sigma_g)$ and classify all quotients that attain the lower bound: Depending on $n$ and $g$, a quotient of minimum order is either a symmetric group or a 2-step nilpotent $p$-group.
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