Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle $\mathrm{PSU}(3,q)$, $q\ge 3$

Jianbing Lu, Yingnan Zhang, Hanlin Zou

A central problem in the study of generalized quadrangles is to classify finite generalized quadrangles satisfying certain symmetry conditions. It is known that an automorphism gro…