On exact products of a cyclic group and a dihedral group

被引：0
作者：
Hu, Kan [1 ,2 ,3 ]
Kovacs, Istvan [2 ,3 ]
Kwon, Young Soo [4 ]
机构：
[1] Zhejiang Ocean Univ, Dept Math, Zhoushan, Zhejiang, Peoples R China
[2] Univ Primorska, UP FAMNIT, Koper, Slovenia
[3] Univ Primorska, UP IAM, Koper, Slovenia
[4] Yeungnam Univ, Dept Math, Kyongsan 712749, South Korea
来源：
COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Bicrossed product; Cayley map; group factorization; skew morphism; REGULAR CAYLEY MAPS; SKEW-MORPHISMS; FACTORIZATIONS; CLASSIFICATION; SUBGROUPS;
D O I：
10.1080/00927872.2024.2392861
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A finite group G is an exact product of two subgroups A and B if G = AB and A boolean AND B={1G}. In this paper, for all odd numbers k >= 3, using the theory of skew morphisms and associated extended power functions, we present a classification of exact products of a cyclic group and a dihedral group D2k. As an application the regular generalized Cayley maps of odd valency over cyclic groups are classified.
引用
收藏
页码：854 / 874
页数：21
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