Modules Over Nilpotent Group Rings

DOI10.1112/jlms/52.3.467zbMath0857.20002OpenAlexW2316703202MaRDI QIDQ4894519

J. R. J. Groves, C. J. B. Brookes

Publication date: 3 March 1997

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

Full work available at URL: https://doi.org/10.1112/jlms/52.3.467

zbMATH Keywords

group ringsKrull dimensionfinitely generated nilpotent groupsFitting subgroupssubgroups of infinite indexHirsch lengthAbelian-by-nilpotent groupsimpervious modules

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18)

Related Items (9)

Crossed products and finitely presented groups ⋮ MODULES OVER QUANTUM LAURENT POLYNOMIALS ⋮ On finite presentability and the homological type \(FP_n\) of Lie algebras: a survey ⋮ Some infinite soluble groups, their modules, and the arithmeticity of associated automorphism groups. ⋮ Modules over infinite nilpotent groups ⋮ Homogeneity and rigidity of the Brookes-Groves invariant for the non-commutative torus. ⋮ Modules over crossed products of a division ring by a free Abelian group. I ⋮ Modules over crossed products of a division ring by a free Abelian group. II ⋮ Polyhedrality of the Brookes-Groves invariant for the non-commutative torus.

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