Classification of flag-transitive primitive symmetric $(v,k,\lambda )$ designs with $PSL(2,q)$ as socle

Shenglin Zhou, Delu Tian

Let $\mathcal{D}$ be a nontrivial symmetric $(v,k,\lambda )$ design, and $G$ be a subgroup of the full automorphism group of $\mathcal{D}$. In this paper we prove that if $G$ acts flag-tran…