Abstract
In 1994 Ghinelli and Löwe announced an abstract construction of finite generalized quadrangles (GQ) of order ( q 2, q) where q= p 2 n , p a prime. With a computer search they actually obtained several examples with p≡3 ( mod 4) 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.
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