Digraph Representations of 2-closed Permutation Groups with a Normal Regular Cyclic Subgroup

[摘要] In this paper, we classify 2-closed (in Wielandt's sense) permutation groups which contain a normal  regular cyclic subgroup and prove that for each such group $G$, there exists a circulant $\Gamma$ such that $\mathrm{Aut} (\Gamma)=G$.

[学科分类] 离散数学和组合数学

[关键词] 2-closed permutation groups;Digraph representations;Arc-transitive circulants