Condition Min-\(\infty\)-N and the representations of solvable groups connected with it

DOI10.1007/BF01065063zbMath0743.20037OpenAlexW2087725255MaRDI QIDQ1813810

A. V. Tushev

Publication date: 25 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01065063

zbMATH Keywords

minimaxsoluble groupsgroup algebrafinite indexcommutator subgroupweak minimal condition on normal subgroupsdescending chain of normal subgroupssoluble group of automorphisms\(\alpha\)-approximated \(J\)- module\(G\)-invariant submodulesjust-infinite \(JG\)-moduleresidually finite torsion-free soluble group

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Cites Work

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