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

页码：854 / 874

页数：21

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