Abstract
Let H be a geometric hyperplane of a classical finite generalized quadrangle Q and let C = Q \ H be its complement in Q, viewed as a point-line geometry. We shall prove that C admits a flag-transitive automorphism group if and only if H spans a hyperplane of the projective space in which Q is naturally embedded (but with Q viewed as Q(4, q) when Q = W(q), q even). Furthermore, if Q is the dual of H(4, q2) and H, C are as above, then C is flag-transitive if and only if H = p⊥ for some point p of Q.
Original language | English |
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Pages (from-to) | 571-587 |
Number of pages | 17 |
Journal | Bulletin of the Belgian Mathematical Society - Simon Stevin |
Volume | 6 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1999 |
Keywords
- Generalized quadrangles
- Maximal subgroup
- Ovoids
ASJC Scopus subject areas
- General Mathematics