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On a result of S. Koshitani

Published online by Cambridge University Press:  20 January 2009

Kaoru Motose
Kaoru Motose
Affiliation:
Department of Mathematics, Faculty of Science, Okayama UniversityOkayama, JAPAN
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Let G be a p-solvable group with a p-Sylow subgroup P of order pa and let t(G) be the nilpotency index of the radical of a group algebra of G over a field of characteristic p. The purpose of this paper is to give an elementary proof of the following result of Koshitani [1, Theorem].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 1 , February 1984 , pp. 57
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

REFERENCES

1.Koshitani, S., A remark on the nilpotency index of the radical of a group algebra of a psolvable group, Proc. Edinburgh Math. Soc. 25 (1982), 31–34.Google Scholar
2.Motose, K., On the nilpotency index of the radical of a group algebra II, Math. J. Okayama Univ. 22 (1980), 141–143.Google Scholar