Generalized quadrangles weakly embedded in finite projective space

✍ Scribed by J.A. Thas; H.Van Maldeghem

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 107 KB
• Volume: 73
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(98)00069-x

✦ Synopsis

We show that every weak embedding of any ÿnite thick generalized quadrangle of order (s; t) in a projective space PG(d; q), q a prime power, is a full embedding in some subspace PG(d; s), where GF(s) is a subÿeld of GF(q), except in some well-known cases where we classify these exceptions. This generalizes a result of Lef evre-Percsy (1981, European J. Combin. 2, 249-255). who considered the case d = 3.