Journal:
:bulletin of the iranian mathematical society0
y. wang department of mathematics, south china university of technology, 510640, guangzhou, china. s. zhou department of mathematics, south china university of technology, 510640, guangzhou, china.
let $g$ be an automorphism group of a $2$-$(v,k,4)$ symmetric design $mathcal d$. in this paper, we prove that if $g$ is flag-transitive point-primitive, then the socle of $g$ cannot be an exceptional group of lie type.
