Semiprimitivity of group algebras of locally finite groups. II

DOI10.1016/0022-4049(95)00069-0zbMath0856.16024OpenAlexW2101060950MaRDI QIDQ1919567

Donald S.Passman

Publication date: 12 February 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00069-0

zbMATH Keywords

group algebrasJacobson radicallocally finite groupssemiprimitivitylocally subnormal subgroupsfinite subnormal series

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Simple groups (20E32) 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) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items (2)

The Jacobson radical of group rings of locally finite groups ⋮ The semiprimitivity problem for group algebras of locally finite groups

Cites Work

• The classification of the simple periodic linear groups
• Infinite alternating groups as finitary linear transformation groups
• Periodic simple groups of finitary linear transformations.
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• 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
• A Problem of Passman on Semisimplicity
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