Union of products of subgroups in finite groups

被引：0

作者：

Meng, Hangyang ^{[1
]}

Ballester-Bolinches, Adolfo ^{[2
]}

Kaplan, Gil ^{[3
]}

机构：

[1] Shanghai Univ, Newtouch Ctr Math, Dept Math, Shanghai, Peoples R China

[2] Univ Valecia, Dept Matematiques, Dr Moliner50, Burjassot 46100, Valencia, Spain

[3] Acad Coll Tel Aviv Yaffo, Sch Comp Sci, Tel Aviv, Israel

来源：

COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 01期

关键词：

Finite groups; maximal subgroups; product of subgroups; union;

D O I：

10.1080/00927872.2024.2372379

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group and A, B, C be subgroups of G. In this paper, we prove that if G=AB boolean OR BC, then G = AB or G = BC. But, in general, G=AB boolean OR AC does not imply that G = AB or G = AC. We also prove that if G is a 2-decomposed group, and G is a Sylow tower group or G is nilpotent-by-nilpotent, then G=AB boolean OR AC implies that G = AB or G = AC. Other interesting special cases are also discussed.

引用

页码：90 / 95

页数：6

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