Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds

DOI10.1016/j.jalgebra.2017.12.039zbMath1404.57039arXiv1605.08244OpenAlexW2964057082MaRDI QIDQ1706256

Gareth Wilkes

Publication date: 21 March 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08244

zbMATH Keywords

3-manifoldsprofinite groupsgraph manifoldsJSJ decomposition

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Topological characterizations of particular spaces (54F65)

Related Items

Profinite rigidity for twisted Alexander polynomials, Relative cohomology theory for profinite groups, The profinite completions of knot groups determine the Alexander polynomials, All finitely generated 3-manifold groups are Grothendieck rigid, Mapping classes are almost determined by their finite quotient actions, Distinguishing some genus one knots using finite quotients, Survey on L2‐invariants and 3‐manifolds, Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups, On accessibility for pro-\(p\) groups, Profinite detection of 3-manifold decompositions, Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds, Profinite genus of fundamental groups of torus bundles, Profinite rigidity of graph manifolds. II: Knots and mapping classes, Around 3-manifold groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determining Fuchsian groups by their finite quotients
• Distinguishing geometries using finite quotients
• Profinite rigidity for Seifert fibre spaces
• Profinite groups and Boolean graphs
• Profinite completions and isomorphic finite quotients
• Lectures on hyperbolic geometry
• Conjugacy separability of amalgamated free products of groups
• A geometric characterization of free formations of profinite groups
• Abelian Subgroup Separability of Haken 3-Manifolds and Closed Hyperbolic n -Orbifolds
• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• PROFINITE GROUPS THAT ACT ON TREES AND DO NOT HAVE FREE NONABELIAN PRO-p-SUBGROUPS
• Residual Properties of Infinite Soluble Groups
• The absolute Galois group acts faithfully on regular dessins and on Beauville surfaces
• A note on groups with separable finitely generated subgroups
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• Subgroup separability, knot groups and graph manifolds
• Separability of double cosets and conjugacy classes in 3-manifold groups
• $3$-Manifold Groups are Virtually Residually $p$
• The profinite completion of $3$-manifold groups, fiberedness and the Thurston norm
• Profinite rigidity, fibering, and the figure-eight knot
• The Geometries of 3-Manifolds
• Profinite Graphs and Groups
• Profinite rigidity and surface bundles over the circle
• Profinite properties of graph manifolds