Finite permutation groups containing a regular dihedral subgroup

TL;DR

This paper characterizes finite permutation groups that include a transitive dihedral subgroup, providing insights into their structure and properties.

Contribution

It offers a new characterization of finite permutation groups with a transitive dihedral subgroup, advancing understanding of their algebraic structure.

Findings

Identification of conditions for dihedral subgroups to be transitive

Structural classification of such permutation groups

Implications for symmetry and group actions

Abstract

We present a characterization of finite permutation groups which contain a transitive dihedral subgroup.