Finite groups all of whose maximal subgroups of even order are PRN-groups

被引:0
作者
Chen, Kunyu [1 ]
Liu, Jianjun [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
基金
中国国家自然科学基金;
关键词
Finite groups; Pronormal subgroups; Minimal subgroups; Maximal subgroups of even order;
D O I
10.1007/s11587-021-00636-7
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 a group G is called pronormal in G if the subgroups H and H-g are conjugate in < H,H-g > for each g is an element of G. A group G is said to be a PRN-group if every minimal subgroup of G or order 4 is pronormal in G. In this paper, we characterize groups G such that G is a non-PRN-group of even order in which every maximal subgroup of even order is a PRN-group, and come to that such groups are solvable, have orders divisible by at most 3 distinct primes. And some additional structural details are provided.
引用
收藏
页码:773 / 780
页数:8
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