Smooth skew morphisms of dihedral groups

被引：12

作者：

Wang, Na-Er ^{[1
,2
]}

Hu, Kan ^{[1
,2
]}

Yuan, Kai ^{[3
]}

Zhang, Jun-Yang ^{[4
]}

机构：

[1] Zhejiang Ocean Univ, Dept Math, Zhoushan 316022, Zhejiang, Peoples R China

[2] Key Lab Oceanog Big Data Min & Applicat Zhejiang, Zhoushan 316022, Zhejiang, Peoples R China

[3] Capital Normal Univ, Sch Math, Beijing 100037, Peoples R China

[4] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

来源：

ARS MATHEMATICA CONTEMPORANEA | 2019年 / 16卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Cayley map; skew morphism; smooth subgroup; REGULAR CAYLEY MAPS; CLASSIFICATION;

D O I：

10.26493/1855-3974.1475.3d3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A skew morphism phi of a finite group A is a permutation on A fixing the identity element of A and for which there exists an integer-valued function pi on A such that phi(ab) = phi(a)phi(pi(a))(b) for all a, b is an element of A. In the case where pi(phi(a)) = pi(a), for all a is an element of A, the skew morphism is smooth. The concept of smooth skew morphism is a generalization of that of t-balanced skew morphism. The aim of this paper is to develop a general theory of smooth skew morphisms. As an application we classify smooth skew morphisms of dihedral groups.

引用

页码：527 / 547

页数：21