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

Published online by Cambridge University Press:  14 November 2011

Shigeo Koshitani
Shigeo Koshitani
Affiliation:
Department of Mathematics, Faculty of Science, Chiba University, 1-33 Yayoi-cho, Chiba-city, 260, Japan
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Synopsis

Let J(KG) be the Jacobson radical of the group algebra KG of a finite p-solvable group G over a field K of characteristic p > 0, and let t(G) be the least positive integer t such that J(KG)t = 0. In this paper we determine the structure of G with t(G) = 4 under the assumption that H is abelian, H is metacyclic, or the order of H is not divisible by 3 where H = O2'(G).

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 92 , Issue 3-4 , 1982 , pp. 205 - 231
Copyright
Copyright © Royal Society of Edinburgh 1982

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