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.
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页数：9
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