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arXiv · 1603.00578

Flag-transitive point-primitive non-symmetric 2-(v,k,2) designs with alternating socle

Hongxue Liang·Shenglin Zhou
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Abstract

This paper studies flag-transitive point-primitive non-symmetric $2$-($v,k,2$) designs. We prove that if $\mathcal{D}$ is a non-trivial non-symmetric $2$-$(v,k,2)$ design admitting a flag-transitive point-primitive automorphism group $G$ with $Soc(G)=A_{n}$ for $n\geq5$, then $\mathcal{D}$ is a $2$-$(6,3,2)$ or $2$-$(10,4,2)$ design.

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Hongxue Liang, Shenglin Zhou. 2016-03-02. Flag-transitive point-primitive non-symmetric 2-(v,k,2) designs with alternating socle. https://arxiv.org/abs/1603.00578

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