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A 2-arc Transitive Hexavalent Nonnormal Cayley Graph on A 119

Author

Listed:
  • Bo Ling

    (School of Mathematics and Computer Sciences, Yunnan Minzu University, Kunming 650031, China)

  • Wanting Li

    (School of Mathematics and Computer Sciences, Yunnan Minzu University, Kunming 650031, China)

  • Bengong Lou

    (School of Mathematics and Statistics, Yunnan University, Kunmin 650031, China)

Abstract

A Cayley graph Γ = Cay ( G , S ) is said to be normal if the base group G is normal in Aut Γ . 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 A 119 . Furthermore, we determine the full automorphism group of this graph and show that it is isomorphic to A 120 .

Suggested Citation

  • Bo Ling & Wanting Li & Bengong Lou, 2021. "A 2-arc Transitive Hexavalent Nonnormal Cayley Graph on A 119," Mathematics, MDPI, vol. 9(22), pages 1-7, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2935-:d:681704
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