Semi-free subgroups of a profinite surface group
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🧮 math.GR
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profinitegammagroupnormalsemi-freesubgroupsurfaceanswers
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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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