| 1 | Normal edge-transitive Cayley graphs on non-abelian groups of order 4p,where p is a prime number显示文摘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 |G|=2δp,δ=0,1,2 and p prime,then Γ=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 F 4p is a group with presentation F4p = a,b|ap=b4=1,b-1ab=aλ,where λ2≡-1(mod p). | DARAFSHEH Mohammad Reza ASSARI Amir | 2013 | Science China Mathematics2013，56，1： | 4 |
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