Block-transitive $3$-$(v,k,1)$ designs associated with alternating groups

Ting Lan, Weijun Liu, Fu-Gang Yin

Let $\mathcal{D}$ be a nontrivial $3$-$(v,k,1)$ design admitting a block-transitive group $G$ of automorphisms. A recent work of Gan and the second author asserts that $G$ is eithe…