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Affine groups and flag-transitive triplanes

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Abstract

Let \(\mathcal{D}\) be a nontrivial 2-(v, k, 3) symmetric design (triplane) and let G ⩽ Aut(\(\mathcal{D}\)) be flag-transitive and point-primitive. In this paper, we prove that if G is an affine group, then G ⩽ AΓL 1(q), where q is some power of a prime p and p ⩾ 5.

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Authors and Affiliations

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

    HuiLi Dong & ShengLin Zhou

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

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Dong, H., Zhou, S. Affine groups and flag-transitive triplanes. Sci. China Math. 55, 2557–2578 (2012). https://doi.org/10.1007/s11425-012-4476-x

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