Primitive group rings of soluble groups

DOI10.1007/BF01223718zbMath0464.16009OpenAlexW2069055349MaRDI QIDQ1153971

Kenneth A. Brown

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01223718

zbMATH Keywords

Fitting subgrouptorsion free nilpotent groupprimitivity of group algebrastorsion free metanilpotent group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (6)

More soluble groups with primitive group rings ⋮ Groups whose proper quotients are finite-by-nilpotent ⋮ Delta methods in enveloping rings ⋮ Representations of infinite soluble groups ⋮ Primitive Group Rings and Noetherian Rings of Quotients ⋮ Locally nilpotent groups with an intersection property

Cites Work

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• Some primitive group rings
• Centrality in finitely generated soluble groups
• Groups rings: an annotated questionnaire
• Primitive noetherian group rings
• Prime Ideals in Group Rings of Polycyclic Groups

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