THE INFLUENCE OF ICΦ-SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

被引：0
|
作者：
Gao, Y. [1 ]
Li, X. [1 ]
机构：
[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2021年 / 163卷 / 01期
基金：
中国国家自然科学基金;
关键词：
finite group; Sylow subgroup; IC Phi-subgroup; p-nilpotent;
D O I：
10.1007/s10474-020-01122-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A subgroup H of a group G is called an IC Phi-subgroup of G if H[H,G]<=Phi(H). We investigate the structure of a finite group G under the assumption that some subgroups of G are IC Phi-subgroups of G, and some results of p-nilpotency and supersolvability of finite groups are obtained.
引用
收藏
页码：29 / 36
页数：8
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