P-subnormal subgroups and the structure of finite groups

被引：0
|
作者：
Chen, Ruifang [1 ]
Zhao, Xianhe [1 ]
Li, Xiaoli [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
RICERCHE DI MATEMATICA | 2023年 / 72卷 / 02期
关键词：
P-subnormal subgroups; 2-maximal subgroups; Cyclic subgroups; Supersolvable groups;
D O I：
10.1007/s11587-021-00582-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
LetG be a finite group. Asubgroup H ofG is called aP-subnormal subgroup whenever H = G or there exists a chain of subgroups H = H-0 <= H-1 <= center dot center dot center dot <= H-t = G such that vertical bar H-i : Hi-1 vertical bar is a prime for every i is an element of {1, 2, ... t}. In the present paper, we study finite groups in which some 2-maximal subgroups or cyclic subgroups are P-subnormal subgroups. Several conditions for G to possess an ordered Sylow tower of supersolvable type are given.
引用
收藏
页码：771 / 778
页数：8
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