Year: 2024
Type: article
Abstract: A permutation group on a set is said to be bi-regular if it is semiregular and has two orbits. In this paper, we give a classification of quasiprimitive permutation groups with a bi-regular dihedral subgroup. As applications, we characterize the family of arc-transitive graphs whose automorphism groups contain a bi-regular dihedral subgroup.We also find some new families of graphs as examples.
Source: Scientia Sinica Mathematica
Authors: Pan Jiangmin, Yin Fu-Gang, Zhou Jin-Xin
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4403736985