Tensor powers of modules over finitely generated abelian groups

DOI10.1016/0021-8693(85)90074-2zbMath0705.20050OpenAlexW2078570695MaRDI QIDQ917708

J. R. J. Groves, Robert Bieri

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90074-2

zbMATH Keywords

invarianttensor powerfinitely generated abelian groupdiagonal actionfinitely generated RG-modulereal valuations

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Vector and tensor algebra, theory of invariants (15A72) Homological methods in group theory (20J05) Valuations and their generalizations for commutative rings (13A18) Exterior algebra, Grassmann algebras (15A75) Abelian groups (20K99)

Related Items (7)

On weak commutativity in groups ⋮ Some finitely presented nilpotent-by-abelian groups ⋮ On invariants with multiplicity ⋮ Subdirect products of finitely presented metabelian groups. ⋮ Geometric invariants and modules of type \(\text{FP}_\infty\) over constructible nilpotent-by-Abelian groups ⋮ Centralisers of finite subgroups in soluble groups of type FP n ⋮ Embedding properties of metabelian pro-p groups

Cites Work

• Valuations and Finitely Presented Metabelian Groups
• Metabelian Groups of Type (FP )_∞ are Virtually of Type (FP )
• Note on coefficient fields of complete local rings
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