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• W2798363186 abstract "We study the quotient of the mapping class group Mod g n of a surface of genus g with n punctures, by the subgroup Mod g n [ p ] generated by the pth powers of Dehn twists. Our first main result is that Mod g 1 / Mod g 1 [ p ] contains an infinite normal subgroup of infinite index, and in particular is not commensurable to a higher rank lattice, for all but finitely many explicit values of p. Next, we prove that Mod g 0 / Mod g 0 [ p ] contains a Kähler subgroup of finite index, for every p ⩾ 2 coprime with six. Finally, we observe that the existence of finite-index subgroups of Mod g 0 with infinite abelianization is equivalent to the analogous problem for Mod g 0 / Mod g 0 [ p ] ." @default.
• W2798363186 created "2018-05-07" @default.
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• W2798363186 date "2019-02-04" @default.
• W2798363186 modified "2023-09-25" @default.
• W2798363186 title "Quotients of the mapping class group by power subgroups" @default.
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• W2798363186 doi "https://doi.org/10.1112/blms.12236" @default.
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