Digraph Representations of 2-closed Permutation Groups with a Normal Regular Cyclic Subgroup
Digraph Representations of 2-closed Permutation Groups with a Normal Regular Cyclic Subgroup
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DOI：
10.37236/5146
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发表时间：
2015-11
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影响因子：
--
通讯作者：
Jing Xu
中科院分区：
文献类型：
--
作者：
Jing Xu
本文对含有正规正则循环子群的2-闭(Wielandt意义下)置换群进行了分类，并证明了对于每个这样的群$G$，存在一个循环$\Gamma$使得$\mathm{Aut}(\Gamma)=G$.
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 $\mathrm{Aut} (\Gamma)=G$.