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Exceptional groups of Lie type and flag-transitive triplanes

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Abstract

A triplane is a (v, k, 3)-symmetric design. Let G be a subgroup of the full automorphism group of a triplane \( \mathcal{D} \). In this paper we prove that if G is flag-transitive and point-primitive, then the socle of G cannot be a simple exceptional group of Lie type.

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Authors and Affiliations

  1. Department of Mathematics, South China University of Technology, Guangzhou, 510640, China

    ShengLin Zhou & HuiLi Dong

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  1. ShengLin Zhou
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  2. HuiLi Dong
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Correspondence to ShengLin Zhou.

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Zhou, S., Dong, H. Exceptional groups of Lie type and flag-transitive triplanes. Sci. China Math. 53, 447–456 (2010). https://doi.org/10.1007/s11425-009-0051-5

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  • DOI: https://doi.org/10.1007/s11425-009-0051-5

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