The semiprimitivity problem for group algebras of locally finite groups

DOI10.1007/BF02937319zbMath0870.16017MaRDI QIDQ677426

Donald S.Passman

Publication date: 22 September 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

group algebrasJacobson radicallocally finite groupslocally subnormal finite subgroups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Local properties of groups (20E25) Jacobson radical, quasimultiplication (16N20)

Related Items (2)

The Jacobson radical of group rings of locally finite groups ⋮ Finitary groups and rings

Cites Work

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• Residual properties of finitary linear groups
• Semiprimitivity of group algebras of locally finite groups. II
• A new radical for group rings?
• Periodic simple groups of finitary linear transformations.
• On the semi-simplicity of group algebras
• The Jacobson Radical of a Group Ring of a Locally Solvable Group
• Semiprimitivity of Group Algebras of Locally Finite Simple Groups
• Semiprimitivity of Group Algebras of Infinite Simple Groups of Lie Type
• The orders of the linear groups

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