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Proceedings of the American Mathematical Society

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


Author: Kaoru Motose
Journal: Proc. Amer. Math. Soc. 92 (1984), 327-328
MSC: Primary 20C05; Secondary 16A26
DOI: https://doi.org/10.1090/S0002-9939-1984-0759645-2
MathSciNet review: 759645
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Abstract: A characterization of a finite $ p$-solvable group $ G$ with $ t(G) < (r + 2)(p - 1) + 1$ is given under certain conditions, where $ t(G)$ is the nilpotency index of the radical of a group algebra of a finite $ p$-solvable group $ G$ with a $ p$-Sylow subgroup of order $ {p^r}$ over a field of characteristic $ p$.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0759645-2
Keywords: Nilpotency index, radical, group algebra
Article copyright: © Copyright 1984 American Mathematical Society