摘要
如果一个图的自同构群作用在它的弧集上是传递的,则称这个图为对称图.该文研究全自同构群无可解极小正规子群的100p阶连通五度对称图.结果表明,这样的图是不存在的.
A graph is said to be symmetric if its automorphism group acts transitively on its arcs.In this paper,we study that the connected pentavalent symmetric graphs of order 100p for a prime p with its automorphism group have no solvable minimal normal subgroups.As a result,there are no such graphs.
作者
吴马威
徐尚进
谢金华
WU Ma-wei;XU Shang-jin;XIE Jin-hua(College of Mathematics and Information Science,Guangxi University,Nanning 530004,China)
出处
《广西师范学院学报（自然科学版）》
2018年第1期1-7,共7页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
The Project Supported by the National Natural Science Foundation of China(Grant 10961004,11361006,11461004)
Guangxi Science Foundation(proj.no.2015GXNSFAA139001)
关键词
对称图
可解极小正规子群
非交换单群
symmetric graph
solvable minimal normal subgroup
non-abelian simple group
