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.
The Ghinelli-Loewe construction of generalized quadrangles / Ghinelli, Dina; Payne, S. E.. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - STAMPA. - 24:(2003), pp. 511-516. [10.1016/S0195-6698(03)00043-X]
The Ghinelli-Loewe construction of generalized quadrangles
GHINELLI, Dina;
2003
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
