Profinite detection of 3-manifold decompositions

DOI10.1112/S0010437X1800787XzbMath1436.57020arXiv1703.03701MaRDI QIDQ5212320

Henry Wilton, Pavel A. Zalesskii

Publication date: 28 January 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03701

zbMATH Keywords

3-manifoldsprofinite completionsJaco-Shalen-Johannson decompositions

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Residual properties and generalizations; residually finite groups (20E26) General topology of 3-manifolds (57K30)

Related Items (11)

Profinite rigidity for twisted Alexander polynomials ⋮ On the profinite rigidity of surface groups and surface words ⋮ Mapping classes are almost determined by their finite quotient actions ⋮ The profinite completion of accessible groups ⋮ Aritmethic lattices of \(\operatorname{SO}(1,n)\) and units of group rings ⋮ Profinite genus of free products with finite amalgamation ⋮ Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups ⋮ Surface automorphisms and finite covers ⋮ Profinite genus of fundamental groups of torus bundles ⋮ Around 3-manifold groups ⋮ Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery

Cites Work

• Unnamed Item
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• Determining Fuchsian groups by their finite quotients
• Torus bundles not distinguished by TQFT invariants. With an appendix by Louis Funar and Andrei Rapinchuk
• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Hereditary conjugacy separability of right-angled Artin groups and its applications.
• Distinguishing geometries using finite quotients
• Profinite rigidity for Seifert fibre spaces
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Cohomological goodness and the profinite completion of Bianchi groups.
• Bounds on exceptional Dehn filling. II
• Groups, trees and projective modules
• Polycyclic groups with isomorphic finite quotients
• A remark on subgroups of infinite index in Poincaré duality groups
• The profinite completions of knot groups determine the Alexander polynomials
• Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds
• The maximal number of exceptional Dehn surgeries
• Hereditary conjugacy separability of free products with amalgamation.
• Approximation by subgroups of finite index and the Hanna Neumann conjecture
• Virtual pro-\(p\) properties of 3-manifold groups
• 3-manifold groups
• PROFINITE GROUPS THAT ACT ON TREES AND DO NOT HAVE FREE NONABELIAN PRO-p-SUBGROUPS
• Correction to ‘Subgroups of Surface Groups are almost Geometric’
• Subgroups of Surface Groups are Almost Geometric
• Splittings of Poincaré Duality Groups II
• Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds
• Separability of double cosets and conjugacy classes in 3-manifold groups
• The profinite completion of $3$-manifold groups, fiberedness and the Thurston norm
• Profinite rigidity, fibering, and the figure-eight knot
• Profinite Graphs and Groups
• Profinite rigidity and surface bundles over the circle
• Detecting ends of residually finite groups in profinite completions
• Profinite and pro-𝑝 completions of Poincaré duality groups of dimension 3
• Profinite Groups
• Profinite properties of graph manifolds

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