Abstract
Let G be a finite group and p a prime. In this article, we give a criterion of p-nilpotency of G by means of the normalizer and a generalization of normality of subgroups.
ACKNOWLEDGMENT
This work was supported by the National Natural Science Foundation of China (Grant No. 10871032), the Natural Science Foundation of Jiangsu Province (No. BK2008156), and Suzhou City Senior Talent Supporting Project.
Notes
Communicated by A. Turull.