The product of nonabelian simple groups and dihedral groups

TL;DR

This paper investigates the structure of groups formed by the product of a nonabelian simple group and a dihedral group, highlighting their connection to regular Cayley maps.

Contribution

It provides a detailed description of groups formed as the product of a nonabelian simple group and a dihedral group, expanding understanding of their algebraic properties.

Findings

Characterization of groups $X=GD$ where $G$ is nonabelian simple and $D$ is dihedral

Connection established between these groups and regular Cayley maps

Main theorems describing the structure of such groups

Abstract

Let $X=GD$ be a group, where $G$ is a nonabelian simple group and $D$ is a dihedral group. These groups $X$ are closely related to regular Cayley maps. The main theorems of this paper describes $X$.