Metabelian Groups of Type (FP )∞ are Virtually of Type (FP )

DOI10.1112/plms/s3-45.2.365zbMath0501.20022OpenAlexW2041519852MaRDI QIDQ3966341

J. R. J. Groves, Robert Bieri

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1112/plms/s3-45.2.365

zbMATH Keywords

finitely generated modulesgroup algebrahomogeneous componentsprojective resolutionsubgroup of finite indexfinite cohomological dimensionfinite generation of tensor powers and exterior powers under diagonal actionmetabelian groups of type FPtrailing ideal

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) 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) Exterior algebra, Grassmann algebras (15A75)

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