Generalized quadrangles and regularity Original Research Article

Let image be a generalized quadrangle of order image, image, and assume that image has a regular point image. In this paper we survey some basic results on such generalized quadrangles (GQs) as well as the known examples. We also study a general representation of such GQs using the net associated with the regular point image and specialise the representation to the case where image is abelian centre of symmetry, as in all of the known examples.