Reduction for flag-transitive symmetric designs with $k>\lambda (\lambda -2)$

Jianfu Chen, Jiaxin Shen, Shenglin Zhou

Let $G$ be a flag-transitive automorphism group of a $(v,k,\lambda )$ symmetric design $\mathcal{D}$ with $k>\lambda (\lambda -2)$. O'Reilly Regueiro proved that if $G$ is point-imprimitive, then $\mat…