Nilpotency indices of the radicals of p-group algebras-Reference-Cited by-同舟云学术

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Nilpotency indices of the radicals of p-group algebras

Published:1994-10 Issue:3 Volume:37 Page:509-517
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Ninomiya Yasushi

Abstract

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].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. On a theorem of S. Koshitani;Motose;Math. J. Okayama Univ.,1978

2. The structure of the group ring of a p-group over a modular field;Jennings;Trans. Amer. Math. Soc.,1941

3. 9. Ninomiya Y. , Finite p-groups with cyclic subgroups of index p 2, Math. J. Okayama Univ., to appear.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. NILPOTENCY INDICES OF THE RADICALS OF FINITE p-SOLVABLE GROUP ALGEBRAS. II;Communications in Algebra;2002-06-19

2. Nilpotency indices of the radicals of finite p-solvable group algebras, I;Journal of the Australian Mathematical Society;2001-08

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