Henry Wilton, Pavel Zalesskii
Abstract
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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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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.
Key concepts: Mathematics, Profinite group, Finitely-generated abelian group, Pure mathematics, Group (periodic table), Manifold (fluid mechanics), 3-manifold, Combinatorics