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Semi-free subgroups of a profinite surface group

Published 20 Apr 2018 in math.GR | (1804.07800v1)

Abstract: We show that every closed normal subgroup of infinite index in a profinite surface group $\Gamma$ is contained in a semi-free profinite normal subgroup of $\Gamma$. This answers a question of Bary-Soroker, Stevenson, and Zalesskii.

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