Generalized quadrangles (GQ) were formally introduced by J. Tits in 1959 to describe
geometric properties of simple groups of Lie type of rank 2. The first edition of Finite …

Translation generalized quadrangles play a key role in the theory of generalized
quadrangles, comparable to the role of translation planes in the theory of projective and …

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A q-clan with qa power of 2 is equivalent to a certain generalized quadrangle with a family of
subquadrangles each associated with an oval in the Desarguesian plane of order 2. It is …

We consider a simple condition defining a tetradic set of ovoids in a projective three-space
over a finite field. By elementary counting and geometrical methods we establish the …

Modulo a combination of duality, translation duality or Payne integration, every known finite
generalized quadrangle except for the Hermitian quadrangles H (4, q^ 2) H (4, q 2), is an …

A truly fruitful way to construct finite generalized quadrangles is through the detection of
Kantor families in the general 5-dimensional Heisenberg group over some finite field F_q …

In this lecture, I will survey several recent results in the local theory of generalized
quadrangles. Starting with a short introduction to the global automorphism theory, I will …

A Laguerre plane is a geometry of points, lines and circles where three pairwise non-
collinear points lie on a unique circle, any line and circle meet uniquely and finally, given a …

In this paper, we classify the finite generalized quadrangles of order (s, t), s, t> 1, which have
a line L of elation points, with the additional property that there is a line M not meeting L for …