Free Exterior Powers of Nonfree Modules and Homology

DOI10.2307/2374549zbMath0611.20033OpenAlexW2330110000MaRDI QIDQ3751780

Gilbert Baumslag, Urs Stammbach

Publication date: 1987

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374549

zbMATH Keywords

finitely generated modulesexterior powershomology groupsLyndon-Hochschild-Serre spectral sequencefinitely generated metabelian groupdiagonal actionAbelian Lie algebrasgroup rings of free Abelian groups of finite rankhomology groups of Lie algebrasmodules over Lie algebras

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Homological methods in Lie (super)algebras (17B55)

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Some Remarks on Tensor, Symmetric and Exterior Powers of Modules over an Abelian Group ⋮ Homological finiteness conditions for a class of metabelian groups

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