Flag-transitive non-symmetric $2$-designs with $(r,\lambda )=1$ and exceptional groups of Lie type

Yongli Zhang, Shenglin Zhou

This paper determined all pairs $(\mathcal{D},G)$ where $\mathcal{D}$ is a non-symmetric 2-$(v,k,\lambda )$ design with $(r,\lambda )=1$ and $G$ is the almost simple flag-transitive automorphism…