Engel Condition and p-nilpotency of Finite Groups

被引:0
作者
Lei Wang
Zheng Tian Qiu
Shou Hong Qiao
机构
[1] Yunnan University,School of Mathematics and Statistics
[2] Guangdong University of Technology,School of Applied Mathematics
来源
Acta Mathematica Sinica, English Series | 2021年 / 37卷
关键词
Finite group; -nilpotency; Engel condition; -nilpotent residual; 20D10; 20D15; 20D20;
D O I
暂无
中图分类号
学科分类号
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.
引用
收藏
页码:1465 / 1470
页数:5
相关论文
共 13 条
[1]  
Ballester-Bolinches A(2000)Some results on J. Algebra 228 491-496
[2]  
Guo X(2016)-nilpotence and solubility of finite groups Monatsh. Math. 181 63-70
[3]  
Ballester-Bolinches A(1967)On finite Math. Z. 100 226-256
[4]  
Guo X(1936)-nilpotent groups Proc. Lond. Math. Soc. 40 468-501
[5]  
Li Y(1974)-groups and 2-groups Proc. Cambridge Philos. Soc. 75 133-137
[6]  
Dornhoff L(2017)On a theorem of Frobenius J. Group Theory 20 185-192
[7]  
Hall P(2012)A lemma on finite Hokkaido Math. J. 41 11-29
[8]  
Laffey T J(2019)-groups and some consequences Comm. Algebra 47 3579-3582
[9]  
Li Y(undefined)A generalization of Burnside’s undefined undefined undefined-undefined
[10]  
Su N(undefined)-nilpotency criterion undefined undefined undefined-undefined