Normal edge-transitive Cayley graphs on non-abelian groups of order 4p,where p is a prime number

作     者：DARAFSHEH Mohammad Reza ASSARI Amir 

作者机构：School of MathematicsStatistics and Computer ScienceCollege of ScienceUniversity of Tehran 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2013年第56卷第1期

页      面：213-219页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Cayley graph automorphism group normal edge-transitive graph 

摘      要：We determine all connected normal edge-transitive Cayley graphs on non-abelian groups with order 4p, where p is a prime number. As a consequence we prove if IGI = 25p, δ = 0, 1, 2 and p prime, then F 1 Cay（G, S） is a connected normal 1/2 arc-transitive Cayley graph only if G = F4p, where S is an inverse closed generating subset of G which does not contain the identity element of G and F4p is a group with presentation F4p = （a, b ｜aP = b4 = 1, b-lab = a^λ）, where λ2 = -1 （mod p）.