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A family of non-quasiprimitive graphs constructed from PSU3(q) where q is odd

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Abstract

Let Γ be a simple connected graph and let G be a group of automorphisms of Γ. Γ is said to be (G, 2)-arc transitive if G is transitive on the 2-arcs of Γ. It has been shown that there exists a family of non-quasiprimitive (PSU3(q), 2)-arc transitive graphs where q = 23m with m an odd integer. In this paper we investigate the case where q is an odd prime power.

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Authors and Affiliations

  1. Department of Mathematics, Central South University, Changsha, 410075, P. R. China

    Shi Feng Ding

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  1. Shi Feng Ding
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Correspondence to Shi Feng Ding.

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This work is supported by the National Natural Science Foundation of China (10471152)

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Ding, S.F. A family of non-quasiprimitive graphs constructed from PSU3(q) where q is odd. Acta. Math. Sin.-English Ser. 24, 1155–1162 (2008). https://doi.org/10.1007/s10114-007-1027-4

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  • DOI: https://doi.org/10.1007/s10114-007-1027-4

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