Point-primitive, line-transitive generalised quadrangles of holomorph type

John Bamberg, Tomasz Popiel, Cheryl E. Praeger

Let $G$ be a group of collineations of a finite thick generalised quadrangle $\Gamma$. Suppose that $G$ acts primitively on the point set $\mathcal{P}$ of $\Gamma$, and transitively on the l…