称有限群G的Cayley图r是正规Cayley图,如果G的右正则表示R(G)gAut(P).该文主要证明了2p^2q^2阶二面体群连通3度Cayley圈的正规性,其中≯〉q均为奇素数.作为应用,还证明了Aut(P)是可解群.
A Cayley graph r of a finite group G is said to be normal if the action of G on V(f') by right multiplication is normal in the full automorphism group of. In this paper, the authors mainly research the normality of connected cubic Cayley graph on Dihedral group with order 2p2q2 , where both p〉q are odd primes. As an application, they determine that the full automorphism group of is solvable. The classification of the finite simple groups is used here.