Just infinite modules over locally soluble groups

DOI10.1007/BF01198623zbMath0662.20026MaRDI QIDQ1113283

M. J. Karbe, Leonid A. Kurdachenko

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

inverse limitsresidually finite grouptorsion-free rankjust infinite \({\mathbb{Z}}G\)-modulejust infinite modules over group rings of locally soluble groupsmin-\(\infty \) for normal subgroupsminimax group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25)

Related Items (3)

Some classes of groups with the weak minimal and maximal conditions for normal subgroups ⋮ Groups with minimax factor groups ⋮ Some noetherian modules and non-monolithic just non-CC-groups

Cites Work

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• Groups satisfying the weak chain conditions for normal subgroups
• Group rings of polycyclic groups
• Groups whose irreducible representations have finite degree: III

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