Finite quotients of rings and applications to subgroup separability of linear groups

DOI10.1090/S0002-9947-04-03580-9zbMath1134.20030MaRDI QIDQ4654094

Emily Hamilton

Publication date: 1 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

subgroup separabilitylinear groupsresidual finiteness3-manifold topologyfinitely generated rings in number fieldshyperbolic \(3\)-orbifold groups

Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Residual properties and generalizations; residually finite groups (20E26)

Related Items (3)

Infinitely many virtual geometric triangulations ⋮ Classes of separable two-generator free subgroups of 3-manifold groups ⋮ Double coset separability of abelian subgroups of hyperbolic $n$-orbifold groups

Cites Work

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• Varieties of group representations and splittings of 3-manifolds
• An elementary account of Selberg's lemma
• Groups of integral representation type
• Classes of separable two-generator free subgroups of 3-manifold groups
• Subgroup separability and 3-manifold groups
• Abelian Subgroup Separability of Haken 3-Manifolds and Closed Hyperbolic n -Orbifolds
• Immersions and Embeddings of Totally Geodesic Surfaces
• Subgroups of Surface Groups are Almost Geometric
• Abelian Subgroups of Finitely Generated Kleinian Groups are Separable
• Primitive divisors of the expression An - Bn in algebraic number fields.
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• Coset Representations in Free Groups

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