Group algebras of finite p-solvable groups with radicals of the fourth power zero

DOI10.1017/S0308210500032492zbMath0499.16009OpenAlexW2107477662MaRDI QIDQ3964729

Shigeo Koshitani

Publication date: 1982

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500032492

zbMATH Keywords

group algebraJacobson radicalnilpotency indexblock theoryp-Sylow subgroupp-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

Cartan invariants of group algebras of finite groups ⋮ On lower bounds for the radical of a block ideal in a finite p-solvable group ⋮ The Projective Cover of the Trivial Module Over a Group Algebra of a Finite Group ⋮ On the nilpotency index of the radical of a group algebra. VII

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