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

Published 1 Dec 2016 in math.GR and math.GT | (1612.00198v2)

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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