Finite groups whose all proper subgroups are C-groups

被引：1

作者：

Guo, Pengfei ^{[1
]}

Liu, Jianjun ^{[2
]}

机构：

[1] Hainan Normal Univ, Sch Math & Stat, 99 Longkun South Rd, Haikou 571158, Hainan, Peoples R China

[2] Southwest Univ, Sch Math & Stat, 2 Tiansheng Rd, Chongqing 400715, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2018年 / 68卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

normal subgroup; abnormal subgroup; minimal non-C-group;

D O I：

10.21136/CMJ.2017.0542-16

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group G is said to be a C-group if for every divisor d of the order of G, there exists a subgroup H of G of order d such that H is normal or abnormal in G. We give a complete classification of those groups which are not C-groups but all of whose proper subgroups are C-groups.

引用

页码：513 / 522

页数：10

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