Finite groups with given ICΦ-subgroups

被引：1

作者：

He, Xuanli ^{[1
]}

Zhang, Xinfang ^{[1
]}

Zhu, Wenyu ^{[1
]}

Wang, Ju ^{[1
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China

来源：

RICERCHE DI MATEMATICA | 2025年

关键词：

Supersolvable group; Formation; IC Phi-subgroup; p-nilpotent group; PERMUTABLE SUBGROUPS;

D O I：

10.1007/s11587-025-00933-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. A subgroup H of G is said to be an IC Phi-subgroup of G if H boolean AND [H, G] < (H). In this paper, we fix a subgroup D of Sylow p-subgroup P of G with 1 <|D|<|O-p(G) and study the structure of G under the assumption that all subgroups H of P with order |H| = |D| are IC-subgroups of G.

引用

页数：13

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