A note on p-sylowizers of p-subgroups in finite groups

被引：4
|
作者：
Yu, Haoran [1 ]
Du, Meixuan [1 ]
Xu, Xiaowei [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
来源：
ARCHIV DER MATHEMATIK | 2022年 / 118卷 / 01期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
p-nilpotency; p-sylowizer; Normal subgroups;
D O I：
10.1007/s00013-021-01668-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we obtain a criterion for p-nilpotency of a finite group by analyzing the intersections between O-p (G) and p-sylowizers of some p-subgroups with given order. Our main result not only simplifies, but also generalizes some main theorems of Lei and Li (Arch Math (Basel) 114(4):367-376, 2020), and Li and Zhang (Arch Math (Basel) 116(3):251-259, 2021).
引用
收藏
页码：13 / 17
页数：5
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