Abstract
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.
Citation
Hongxue Liang. Shenglin Zhou. "Flag-transitive point-primitive non-symmetric $2$-$(v,k,2)$ designs with alternating socle." Bull. Belg. Math. Soc. Simon Stevin 23 (4) 559 - 571, november 2016. https://doi.org/10.36045/bbms/1480993587
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