A remark on the Jacobson radical of a block ideal in a finite p-solvable group

DOI10.1016/0021-8693(85)90205-4zbMath0596.16009OpenAlexW1991661707MaRDI QIDQ1078291

Shigeo Koshitani

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90205-4

zbMATH Keywords

group algebraJacobson radicalindex of nilpotencySylow p-subgroupp-lengthfinite p-solvable group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Radicals and radical properties of associative rings (16Nxx)

Related Items (4)

On the nilpotency index of the radical of a group algebra. VI ⋮ Some results on the cartan matrix of a frobenius algebra ⋮ On the nilpotency index of the radical of a group algebra. V ⋮ On the nilpotency index of the radical of a group algebra. VII

Cites Work

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• On the nilpotency index of the radical of a group algebra. V
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• On the nilpotency indices of the radicals of group algebras of p-solvable groups
• On the nilpotency indices of the radicals of group algebras of \(p\)-groups which have cyclic subgroups of index \(p\).
• Some notes on the radical of a finite group ring
• On the Jacobson radical of a block ideal in a finite p-solvable group for \(p\geq 5\)
• Radicals of group algebras
• On The Characters of p-Solvable Groups
• Solvable Groups and Modular Representation Theory
• Lower bounds for the radical of the group algebra of a finite p-soluble group
• Radicals of Twisted Group Rings
• Endliche Gruppen I

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