Engel Condition and p-nilpotency of Finite Groups  

作　　者：Lei WANG Zheng Tian QIU Shou Hong QIAO 

机构地区：[1]School of Mathematics and Statistics,Yunnan University,Kunming 650091,P.R.China [2]School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510520,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第9期1465-1470,共6页数学学报（英文版）

基　　金：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)。

摘　　要：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 some recent results.

关 键 词：Finite group p-nilpotency Engel condition p-nilpotent residual 

分 类 号：O152.1[理学—数学]