On exact products of two dihedral groups

被引：0

作者：

Hu, Kan ^{[1
]}

Yu, Hao ^{[2
,3
,4
]}

机构：

[1] Zhejiang Ocean Univ, Dept Math, Zhoushan, Zhejiang, Peoples R China

[2] Guangxi Univ, Sch Math & Informat Sci, Nanning, Guangxi, Peoples R China

[3] Guangxi Univ, Ctr Appl Math Guangxi, Nanning, Guangxi, Peoples R China

[4] Capital Normal Univ, Sch Math Sci, Beijing, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2025年

基金：

中国国家自然科学基金;

关键词：

Dihedral group; exact product; group factorization; regular subgroup; REGULAR CAYLEY MAPS; SKEW-MORPHISMS; FACTORIZATIONS; CLASSIFICATION; SUBGROUPS; GRAPHS;

D O I：

10.1080/00927872.2025.2479137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An exact product of two finite groups H and K is a finite group X which contains H and K as subgroups, satisfying X=HK and H boolean AND K={1X}. In this paper, we provide a classification of the exact products of two dihedral groups of orders 2m and 2n for all odd numbers m,n >= 3.

引用

页数：9

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