A 2-arc Transitive Hexavalent Nonnormal Cayley Graph on A119
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A Cayley graph Γ=Cay(G,S) is said to be normal if the base group G is normal in AutΓ. The concept of the normality of Cayley graphs was first proposed by M.Y. Xu in 1998 and it plays a vital role in determining the full automorphism groups of Cayley graphs. In this paper, we construct an example of a 2-arc transitive hexavalent nonnormal Cayley graph on the alternating group A119. Furthermore, we determine the full automorphism group of this graph and show that it is isomorphic to A120.
2016 ◽
Vol 93
(3)
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pp. 441-446
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2018 ◽
Vol 17
(07)
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pp. 1850126
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