Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants☆
Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants☆
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DOI：
10.1016/j.jalgebra.2013.10.022
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发表时间：
2014-02
影响因子：
0.9
通讯作者：
S. Song;Caiheng Li;Hua Zhang
中科院分区：
文献类型：
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作者：
S. Song;Caiheng Li;Hua Zhang
我们研究包含一个正则二面体子群的有限置换群，称为d-群。特别地，给出了双拟本原d-群的一个分类.然后，它被应用到分类的边传递的二p m阶和价互质p，其中p是一个奇素数和m是一个正整数的特征量。
We study finite permutation groups that contain a regular dihedral subgroup, called d-groups. In particular, a classification is given of bi-quasiprimitive d-groups. It is then applied to classify edge-transitive dihedrants of order 2 p m and valency coprime to p, where p is an odd prime and m is a positive integer.