\( \mathcal{F}_\pi \)-residuality of generalized Baumslag-Solitar groups

DOI10.1007/s00013-019-01404-8zbMath1480.20071OpenAlexW2987479592MaRDI QIDQ2291673

F. A. Dudkin

Publication date: 31 January 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-019-01404-8

zbMATH Keywords

residual finitenessBaumslag-Solitar groupgeneralized Baumslag-Solitar groupresidual \(\pi \)-finiteness

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08)

Related Items (4)

Group and algorithmic properties of generalized Baumslag-Solitar groups ⋮ Torsion in the outer automorphism groups of generalized Baumslag-Solitar groups ⋮ Certain residual properties of generalized Baumslag-Solitar groups ⋮ The root-class residuality of the fundamental groups of certain graphs of groups with central edge subgroups

Cites Work

• A criterion for the \(\mathcal F_\pi\)-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks.
• Quotients and subgroups of Baumslag-Solitar groups.
• On the automorphism group of generalized Baumslag-Solitar groups.
• On the isomorphism problem for generalized Baumslag-Solitar groups.
• Baumslag-Solitar groups and some other groups of cohomological dimension two
• Deformation and rigidity of simplicial group actions on trees.
• Computation of the centralizer dimension of generalized Baumslag-Solitar groups
• Cyclic normal subgroups of generalized Baumslag–Solitar groups
• Generalized Baumslag-Solitar groups: a survey of recent progress
• Some two-generator one-relator non-Hopfian groups
• Growth Functions for Some Nonautomatic Baumslag-Solitar Groups
• Three-manifolds and Baumslag-Solitar groups
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