【摘要】 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.更多还原

【Abstract】 A Cayley graphΓof a finite group Gis said to be normal if the action of Gon V(Γ)by right multiplication is normal in the full automorphism group ofΓ.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 ofΓis solvable.The classification of the finite simple groups is used here.更多还原