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A New Family of Extended Generalized Quadrangles of Order (q +  1,q  −  1)

✍ Scribed by Siaw-Lynn Ng; Peter R. Wild

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
144 KB
Volume
21
Category
Article
ISSN
0195-6698

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✦ Synopsis

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 extended generalized quadrangle is an extension of the dual of the Tits quadrangle T * 2 (O), where O is a hyperoval whose o-polynomial is a monomial.

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