Geodesic
Classification of skew morphisms of cyclic groups which are square roots of automorphisms
Ars Mathematica Contemporanea, Tome 21 (2021) no. 2, article no. 01, 23 p.

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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.
DOI : 10.26493/1855-3974.2129.ac1
Keywords: Skew morphism, auto-index, period, square root 
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Kan Hu; Young Soo Kwon; Jun-Yang Zhang. Classification of skew morphisms of cyclic groups which are square roots of automorphisms. Ars Mathematica Contemporanea, Tome 21 (2021) no. 2, article  no. 01, 23 p. doi : 10.26493/1855-3974.2129.ac1. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2129.ac1/

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