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

页码：771 / 778

页数：8

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