Engel Condition and p-nilpotency of Finite Groups
Engel Condition and p-nilpotency of Finite Groups
复制标题
有限群的恩格尔条件和 p 幂零性
DOI：
10.1007/s10114-021-0022-5
复制
发表时间：
2021
影响因子：
0.7
通讯作者：
Qiao Shou Hong
中科院分区：
文献类型：
--
作者：
Wang Lei;Qiu Zheng Tian;Qiao Shou Hong
设为g的有限群，设为g的sylop子群。在NG(P)是幂零的假设下，利用Engel条件给出了有限群的幂零判据，改进了最近的一些结果。
LetGbe a finite group, and letPbe a Sylowp-subgroup ofG. Under the hypothesis that NG(P) isp-nilpotent, we provide some conditions to give ap-nilpotency criterion of finite groups by Engel condition, which improves some recent results.