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

Authors

DOI:

https://doi.org/10.26493/1855-3974.2129.ac1

Keywords:

Skew morphism, auto-index, period, square root

Abstract

The auto-index of a skew morphism φ of a finite group A is the smallest positive integer h such that φh 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.

Published

2021-09-18

Issue

Section

Articles