the support from NSF of China(Grant No.12061083);EDF of Yunnan Province(Grant No.2019J0026);NSF of Yunnan Province(Grant No.202101AT070023);the support from NSF of China(Grants Nos.12071093,12026212);NSF of Guangdong Province(Grant No.2021A1515010217)。
Let G be a finite group,and let P be a Sylow p-subgroup of G.Under the hypothesis that NG(P)is p-nilpotent,we provide some conditions to give a p-nilpotency criterion of finite groups by Engel condition,which improves...
Supported by National Natural Science Foundation of China (Grant Nos. 10961007, 10871210);Natural Science Foundation of Guangxi Province (Grant No. 0991101);Guangxi Education Department
A subgroup H of a finitegroup G is called a c*-normal subgroup of G if there exists a