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

Henry Wilton; Pavel Zalesskii

arxiv: 1612.00198 · v2 · pith:ATMT7457new · submitted 2016-12-01 · 🧮 math.GR · math.GT

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

Henry Wilton , Pavel Zalesskii This is my paper

classification 🧮 math.GR math.GT

keywords pro-finitelygeneratedgroupsmanifoldprofinitesubgroupsanalogue

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

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