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Corpus ID: 209500840

Skew-morphisms of nonabelian characteristically simple groups

@article{Chen2019SkewmorphismsON,
title={Skew-morphisms of nonabelian characteristically simple groups},
author={J. Chen and Shao-Fei Du and C. Li},
journal={arXiv: Combinatorics},
year={2019}
}

A skew-morphism of a finite group $G$ is a permutation $\s$ on $G$ fixing the identity element, and for which there exists an integer function $\pi$ on $G$ such that $\s(xy)=\s(x)\s^{\pi(x)}(y)$ for all $x,y\in G$. It has been known that given a skew-morphism $\s $ of $G$, the product of $\lg \s \rg$ with the left regular representation of $G$ forms a permutation group on $G$, called the skew-product group of $\s$. The skew-morphism was introduced as an algebraic tool to investigate regular… CONTINUE READING