Representations of infinite soluble groups

DOI10.1017/S0017089500005048zbMath0515.16004MaRDI QIDQ3661737

Ian M. Musson

Publication date: 1983

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

zbMATH Keywords

polycyclic groupsfinitely generated hyperabelian groupfaithful irreducible moduleplinthgroup algebras of soluble groupsinfinite dimensional irreducible moduleprimitivity of group ringstorsion free metanilpotent groups

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Local properties of groups (20E25)

Related Items (1)

Group rings with finite endomorphism dimension

Cites Work

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• Some more primitive group rings
• Primitive group rings of soluble groups
• Integral group rings of polycyclic-by-finite groups
• Group rings of polycyclic groups
• Groups rings: an annotated questionnaire
• Groups whose irreducible representations have finite degree
• INJECTIVE MODULES OVER GROUP RINGS
• Primitive noetherian group rings
• Prime Ideals in Group Rings of Polycyclic Groups
• Group Algebras Whose Simple Modules are Injective

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