Generalised quadrangles with a group of automorphisms acting primitively on points and lines
arXiv:1107.3909 · doi:10.1016/j.jcta.2012.04.005
Abstract
We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also flag-transitive then G is of Lie type.
20 pages