Geometric invariants and modules of type \(\text{FP}_\infty\) over constructible nilpotent-by-Abelian groups

DOI10.1016/S0022-4049(00)00057-8zbMath0985.20041MaRDI QIDQ5939821

Dessislava H. Kochloukova

Publication date: 23 October 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

constructible groupsHNN-extensionsmodules of type \(\text{FP}_\infty\)nilpotent-by-Abelian groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) 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)

Related Items (2)

Building resolutions. ⋮ Centralisers of finite subgroups in soluble groups of type FP n

Cites Work

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• Tensor powers of modules over finitely generated abelian groups
• Valuations on free resolutions and higher geometric invariants of groups
• A geometric invariant for nilpotent-by-Abelian-by-finite groups
• On groups of type \((FP)_\infty\)
• Complexity and varieties for infinite groups. II
• Valuations and Finitely Presented Metabelian Groups
• Metabelian Groups of Type (FP )_∞ are Virtually of Type (FP )
• A New Characterisation of m -Tame Groups Over Finitely Generated Abelian Groups
• The Homological Invariants for Metabelian Groups of Finite Prüfer Rank: A Proof of the Σ^m -Conjecture

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