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Subquadrangles of Generalized Quadrangles of Order (q2, q), q Even

✍ Scribed by Christine M. O'Keefe; Tim Penttila


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
137 KB
Volume
94
Category
Article
ISSN
0097-3165

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✦ Synopsis


First, we survey the known generalized quadrangles of order (q 2 , q), q even, including a description of their known subquadrangles of order q. Then, in the case of Tits' generalized quadrangles, we completely classify the subquadrangles of order q, while in the case of the flock quadrangles we classify the subquadrangles of order q which contain the base point. Finally, we determine the full automorphism groups of the Tits generalized quadrangles T 2 (O) of order q and T 3 (0) of order (q, q 2 ).


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