Subquadrangles of generalized quadrangles of order (q(2), q), q even

Citation
Cm. O'Keefe et T. Penttila, Subquadrangles of generalized quadrangles of order (q(2), q), q even, J COMB TH A, 94(2), 2001, pp. 218-229
Citations number
24
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165 → ACNP
Volume
94
Issue
2
Year of publication
2001
Pages
218 - 229
Database
ISI
SICI code
0097-3165(200105)94:2<218:SOGQOO>2.0.ZU;2-G
Abstract
First, we survey the known generalized quadrangles of order (q(2), q), q ev en, including a description of their known subquadrangles of order q. Then. in the case of Tits' generalized quadrangles, we completely classify the s ubquadrangles of order q, while in the case oi. the flock quadrangles we cl assify the subquadrangles of order q which contain the base point. Finally, we determine the full automorphism groups of the Tits generalized quadrang les T-2(O) of order q and T-3(Omega) of order (q, q(2)). (C) 2001 Academic Press.