A New Characterisation of m -Tame Groups Over Finitely Generated Abelian Groups

DOI10.1112/S0024610799008194zbMath1124.20307MaRDI QIDQ4487504

Dessislava H. Kochloukova

Publication date: 22 June 2000

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

zbMATH Keywords

tensor powersaugmentation idealshomological finiteness propertiesfinitely presented metabelian groups\(m\)-tame groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (5)

Abelian-by-polycyclic groups of homological type FP3 ⋮ The \(\Sigma^2\)-conjecture for metabelian groups and some new conjectures: the split extension case ⋮ Geometric invariants and modules of type \(\text{FP}_\infty\) over constructible nilpotent-by-Abelian groups ⋮ Homological finiteness properties of pro-\(p\) modules over metabelian pro-\(p\) groups. ⋮ On the homological finiteness properties of some modules over metabelian Lie algebras

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