交错群A59上的5度2-传递非正规Cayley图
A 2-transitive pentavalent nonnormal Cayley graph on the alternating group A59
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摘要: 称Cayley图Γ=Cay(G,S)是正规的,如果G在Aut(Γ)中正规.正规Cayley图在决定Cayley图的全自同构群中扮演着重要角色.在交错群A59上构造了一个5度2-传递非正规Cayley图,并证明其全自同构群同构于A60.Abstract: A Cayley graph Γ=Cay(G,s) is said to be normal if G is normal in Γ.The normal Gayley graphs plays an important role in determining the full automorphism groups of Gayley graphs.We construct an example of a nonnormal 2-transitive pentavalent Cayley graph on the alternating group A59 and show that the full automorphism group of this graph is isomorphic to the alternating group A60.
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