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.
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页码：513 / 522
页数：10
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