100p阶五度对称图（英文）  

Pentavalent Symmetric Graphs of Order 100p

作　　者：吴马威 徐尚进[1] 谢金华 WU Ma-wei;XU Shang-jin;XIE Jin-hua(College of Mathematics and Information Science,Guangxi University,Nanning 530004,China)

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

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)

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.

关 键 词：对称图 可解极小正规子群 非交换单群 

分 类 号：O152.1[理学—数学] O157.5[理学—基础数学]