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Generalized quadrangles of order (q, q2),qeven, containingW(q) as a subquadrangle

✍ Scribed by Matthew R. Brown

Publisher
Springer
Year
1995
Tongue
English
Weight
525 KB
Volume
56
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

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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 cla

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In this paper we show that any dual of the family S of planes defined by Yoshiara [6] also satisfies the same conditions. We present a new family Y (O) of extended generalized quadrangles of order (q + 1, q -1) constructed from the dual of the Yoshiara construction S(O) [6] and show that each such e

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The known examples of embedded unitals (i.e. Hermifian arcs) in PG(2, qZ) are B-unitals, i.e. they can be obtained from ovoids of PG(3, q) by a method due to Buekenhout. B-unitals arising from elliptic quadrics are called BM-unitals. Recently, BM-unitals have been classified and their collineation g

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A condition is found that determines whether a polynomial over GF(q) gives an oval in PG(2, q), q even. This shows that the set of all ovals of PG(2, q) corresponds to a certain variety of points of PG((q -4)/2, q). The condition improves upon that of Segre and Bartocci, who proved that all the term