For each finite classical group G, we classify the subgroups of G which act transitively on a G-
invariant set of subspaces of the natural module, where the subspaces are either totally …

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 …

Let G be a group of collineations of a finite thick generalised quadrangle Γ. Suppose that G
acts primitively on the point set 𝒫 of Γ, and transitively on the lines of Γ. We show that the …

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 …

A generalised quadrangle is a point–line incidence geometry G such that:(i) any two points
lie on at most one line, and (ii) given a line L and a point p not incident with L, there is a …

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 …

Let SS be a finite proper partial geometry pg (s, t, α) (s,t,α) not isomorphic to the van Lint–
Schrijver partial geometry pg (5, 5, 2) (5,5,2) and let GG be a group of automorphisms of SS …

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 group …

A generalized quadrangle is a point-line incidence geometry $\mathcal {Q} $ such that:(i)
any two points lie on at most one line, and (ii) given a line $\ell $ and a point $ P $ not …

Ostrom and Wagner (1959) proved that if the automorphism group $ G $ of a finite projective
plane $\pi $ acts $2 $-transitively on the points of $\pi $, then $\pi $ is isomorphic to the …