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

Motose, Kaoru

doi:10.1090/S0002-9939-1984-0759645-2

On the nilpotency index of the radical of a group algebra. VIII
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Proc. Amer. Math. Soc. 92 (1984), 327-328 Request permission

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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On the semi-simplicity of group algebras

10

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