Let S be a finite thick generalized quadrangle, and suppose that G is an automorphism
group of S. If G acts primitively on both the points and lines of S, then it is known that G must …

In this article, we study symmetric designs D with parameters (v, k, λ) admitting a flag-
transitive and point-primitive automorphism group G whose socle X is a finite simple …

The classification of flag-transitive generalized quadrangles is a long-standing open
problem at the interface of finite geometry and permutation group theory. Given that all …

Let $ G $ be a collineation group of a thick finite generalised hexagon or generalised
octagon $\Gamma $. If $ G $ acts primitively on the points of $\Gamma $, then a recent result …

We discuss recent progress on the problem of classifying point-primitive generalised
polygons. In the case of generalised hexagons and generalised octagons, this has reduced …

Suppose we have a finite thick generalised quadrangle whose automorphism group $ G $
acts primitively on both the set of points and the set of lines. Then $ G $ must be almost …

Let $\mathcal {S} $ be a finite thick generalized quadrangle, and suppose that $ G $ is an
automorphism group of $\mathcal {S} $. If $ G $ acts primitively on both the points and lines …

The classification of flag-transitive generalised quadrangles is a long-standing open
problem at the interface of finite geometry and permutation group theory. Given that all …

The generalised polygons are a particularly interesting type of point-line incidence
geometry, whose symmetry groups are strongly linked to the finite simple groups of Lie type …