Cyclic normal subgroups of generalized Baumslag–Solitar groups

DOI10.1080/00927872.2016.1226859zbMath1376.20032OpenAlexW2527743194MaRDI QIDQ2985005

Mathew Timm, Derek J. S. Robinson, Alberto Luis Delgado

Publication date: 12 May 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1226859

zbMATH Keywords

covering groupgeneralized Baumslag-Solitar groupcyclic radical

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Related Items (4)

Cyclic amalgams, HNN extensions, and Garside one-relator groups ⋮ Unnamed Item ⋮ Certain residual properties of generalized Baumslag-Solitar groups ⋮ \( \mathcal{F}_\pi \)-residuality of generalized Baumslag-Solitar groups

Cites Work

• Generalized Baumslag-Solitar groups and geometric homomorphisms.
• The Schur multiplier of a generalized Baumslag-Solitar group.
• Splittings of generalized 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
• On uniqueness of JSJ decompositions of finitely generated groups.
• A note on centrality in 3-manifold groups
• Generalized Baumslag-Solitar Graphs with Soluble Fundamental Groups

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