On flag-transitive automorphism groups of $2$-designs with $\lambda$ prime

Seyed Hassan Alavi, Ashraf Daneshkhah, Alessandro Montinaro

In this article, we study $2$-$(v,k,\lambda )$ designs $\mathcal{D}$ with $\lambda$ prime admitting flag-transitive and point-primitive almost simple automorphism groups $G$ with socle $T$ a fi…