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

页码：29 / 36

页数：8