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arXiv · 1612.00198

Pro-$p$ subgroups of profinite completions of 3-manifold groups

Henry Wilton·Pavel Zalesskii
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Abstract

We completely describe the finitely generated pro-$p$ subgroups of the profinite completion of the fundamental group of an arbitrary $3$-manifold. We also prove a pro-$p$ analogue of the main theorem of Bass--Serre theory for finitely generated pro-$p$ groups.

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Henry Wilton, Pavel Zalesskii. 2017-07-07. Pro-$p$ subgroups of profinite completions of 3-manifold groups. https://doi.org/10.1112/jlms.12067

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