Abstract
Starting with a pencil of quadrics not all singular in PG(2, q), q odd, such that the pencil has reducible base, a generalized quadrangle of order (q 4, q 2) having property (G) is constructed. The purpose of the present paper is to show that the only kind of pencil that will work is a pencil of elliptic quadrics.
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Ghinelli, D., Löwe, S. (2001). Generalized Quadrangles and Pencils of Quadrics. In: Blokhuis, A., Hirschfeld, J.W.P., Jungnickel, D., Thas, J.A. (eds) Finite Geometries. Developments in Mathematics, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0283-4_9
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DOI: https://doi.org/10.1007/978-1-4613-0283-4_9
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