Every G-Module is a Submodule of a Direct Sum of Cyclics

DOI10.2307/2159469zbMath0790.20009OpenAlexW4248785203MaRDI QIDQ4027772

Andy R. Magid

Publication date: 1 March 1993

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

Full work available at URL: https://doi.org/10.2307/2159469

zbMATH Keywords

semisimple modulesdirect sums of cyclic modulesfinite dimensional modulesunipotent algebraic groupcomplex analytic groupcyclic analytic \(G\)- modules

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Limits, profinite groups (20E18)