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

来源：Science China Mathematics, 2013, 56(1): 213-219.

DOI：10.1007/s11425-012-4415-x

• Cayley graph
• automorphism group
• normal edge-transitive graph

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| = 2 (delta) p, delta = 0, 1,2 and p prime, then I %26gt; = Cay(G, S) is a connected normal arc-transitive Cayley graph only if G = F (4p) , 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 , where lambda (2) not equal -1 (mod p).

• 出版日期2013-1