Classification of skew morphisms of cyclic groups which are square roots of automorphisms

被引：4

作者：

Hu, Kan ^{[1
,2
]}

Kwon, Young Soo ^{[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] Yeungnam Univ, Dept Math, Gyongsan 712749, South Korea

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

来源：

ARS MATHEMATICA CONTEMPORANEA | 2021年 / 21卷 / 02期

基金：

中国国家自然科学基金; 新加坡国家研究基金会;

关键词：

Skew morphism; auto-index; period; square root; REGULAR CAYLEY MAPS;

D O I：

10.26493/1855-3974.2129.ac1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The auto-index of a skew morphism phi of a finite group A is the smallest positive integer h such that phi(h) is an automorphism of A. In this paper we develop a theory of auto-index of skew morphisms, and as an application we present a complete classification of skew morphisms of finite cyclic groups which are square roots of automorphisms.

引用

页数：23

共 29 条

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