On the Jacobson radical of a block ideal in a finite p-solvable group for \(p\geq 5\)

DOI10.1016/0021-8693(83)90022-4zbMath0507.16011OpenAlexW2051827076MaRDI QIDQ1837268

Shigeo Koshitani

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90022-4

zbMATH Keywords

group algebraJacobson radicalnilpotency indexp-Sylow subgroupfinite 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

A remark on the Jacobson radical of a block ideal in a finite p-solvable group ⋮ On the nilpotency index of the radical of a group algebra. VI ⋮ On the loewy series of the group algebra of a finite p-solvable group with p-length>1^∗ ⋮ Loewy lengths of blocks with abelian defect groups ⋮ On the nilpotency index of the radical of a group algebra. V ⋮ On the nilpotency index of the radical of a group algebra. VII

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