The Ghinelli-Loewe construction of generalized quadrangles

In 1994 Ghinelli and Lowe announced an abstract construction of finite generalized quadrangles (GQ) of order (q^2,q) where q=p^{2n}, p a prime. With a computer search they actually obtained several examples with p=3(mod4) and n=1.In this paper we offer a brief summary of the construction and an indication of the proof that the examples actually produced are of Kantor-Knuth type whose point-line duals are translation GQ of dimension 2 over their kernel