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Nilpotency indices of the radicals of p-group algebras

Published online by Cambridge University Press:  20 January 2009

Yasushi Ninomiya
Yasushi Ninomiya
Affiliation:
Department of Mathematics, Faculty of Liberal Arts, Shinshu University, Matsumoto 390, Japan
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Abstract

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Let k be a field of characteristic p>0. We classify all finite p-groups G satisfying the inequality p−2|G|≦t(G) < p−1|G|, where t(G) is the nilpotency index of the Jacobson radical of k[G].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 3 , October 1994 , pp. 509 - 517
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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