Abelian-by-polycyclic groups of homological type FP3

DOI10.1515/JGT.2008.037zbMath1180.20042OpenAlexW1977792381MaRDI QIDQ3534790

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Publication date: 5 November 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2008.037

zbMATH Keywords

split extensionsAbelian-by-polycyclic groupshomological typesvirtually nilpotent-by-Abelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (1)

Virtual rational Betti numbers of abelian-by-polycyclic groups.

Cites Work

• Modules over crossed products of a division ring by a free Abelian group. I
• Some infinite soluble groups, their modules, and the arithmeticity of associated automorphism groups.
• Valuations and Finitely Presented Metabelian Groups
• Metabelian Groups of Type (FP )_∞ are Virtually of Type (FP )
• On the Residual Simplicity of Certain Modules
• Exterior Powers of Modules for Group Rings of Polycyclic Groups
• A New Characterisation of m -Tame Groups Over Finitely Generated Abelian Groups
• Crossed products and finitely presented groups
• On the Dimension of Group Rings
• Embedding homological properties of metabelian discrete groups: the general case

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