2p^2q^2阶二面体群的3度Cayley图

Cubic Cayley Graphs on Dihedral Group with Order 2p^2q^2

称有限群G的Cayley图Γ是正规Cayley图,如果G的右正则表示R(G)Aut(Γ).该文主要证明了2p2q 2阶二面体群连通3度Cayley图的正规性,其中p>q均为奇素数.作为应用,还证明了Aut(Γ)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.