Finite Groups Whose n-Maximal Subgroups Are Modular

被引：0

作者：

J. Huang

B. Hu

X. Zheng

机构：

[1] School of Mathematics and Statistics Jiangsu Normal University,

来源：

Siberian Mathematical Journal | 2018年 / 59卷

关键词：

finite group; modular subgroup; -maximal subgroup; nearly nilpotent group; strongly supersoluble group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a finite group. If Mn< Mn−1< · · · < M1< M0 = G with Mi a maximal subgroup of Mi−1 for all i = 1,..., n, then Mn (n > 0) is an n-maximal subgroup of G. A subgroup M of G is called modular provided that (i) 〈X,M ∩ Z〉 = 〈X,M〉 ∩ Z for all X ≤ G and Z ≤ G such that X ≤ Z, and (ii) 〈M,Y ∩ Z〉 = 〈M,Y 〉 ∩ Z for all Y ≤ G and Z ≤ G such that M ≤ Z. In this paper, we study finite groups whose n-maximal subgroups are modular.

引用

页码：556 / 564

页数：8

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