Polycyclic group algebras and theorems of Harper and Lichtman

DOI10.1007/BF01196852zbMath0702.20005OpenAlexW2036778883MaRDI QIDQ914827

Bertram Arthur Frederick Wehrfritz

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01196852

zbMATH Keywords

group algebrafree abelian groupsemiprime idealspolycyclic-by-finite groupclassical ring of quotientslocally super-residually finite- dimensional

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (1)

On rings of quotients of group algebras of soluble groups of finite rank

Cites Work

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• Soluble and locally soluble skew linear groups
• Some nilpotent and locally nilpotent matrix groups
• Group rings of polycyclic groups
• Applications of a New K-Theoretic Theorem to Soluble Group Rings
• Primitivity in representations of polycyclic groups
• Modules over polycyclic groups have many irreducible images

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