On the nilpotency index of the radical of a group algebra. VI

DOI10.1016/0021-8693(85)90188-7zbMath0596.16010OpenAlexW1986476208MaRDI QIDQ1078292

Kaoru Motose

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)90188-7

zbMATH Keywords

Frattini subgroupnilpotency indexp-lengthp-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 (1)

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
• A remark on the Jacobson radical of a block ideal in a finite p-solvable group
• 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 \(p\geq 5\)
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• 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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