On Non-normal Arc-Transitive 4-Valent Dihedrants

被引：0

作者：

István KOVCS ^{[1
]}

Botjan KUZMAN ^{[2
]}

Aleksander MALNI ^{[3
]}

机构：

[1] FAMNIT, University of Primorska

[2] PeF, University of Ljubljana

[3] IMFM, University of Ljubljana

来源：

ActaMathematicaSinica(EnglishSeries) | 2010年 / 26卷 / 08期

关键词：

Cayley graph; arc transitivity; dihedral group;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

070104 ;

摘要：

Let X be a connected non-normal 4-valent arc-transitive Cayley graph on a dihedral groupDnsuch that X is bipartite, with the two bipartition sets being the two orbits of the cyclic subgroupwithin Dn. It is shown that X is isomorphic either to the lexicographic product Cn[2K1] with n≥4even, or to one of the five sporadic graphs on 10, 14, 26, 28 and 30 vertices, respectively.

引用

页码：1485 / 1498

页数：14

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