A Construction of Extended Generalized Quadrangles Using the Veronesean
โ Scribed by Satoshi Yoshiara
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 228 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0195-6698
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โฆ Synopsis
A family of c . C 2 -geometries with point residues isomorphic to the dual of the Tits quadrangles. T * 2 (O) for the regular hyperoval O can be constructed using the quadratic Veronesean.
๐ SIMILAR VOLUMES
A sufficient condition for the simple connectedness is given for an infinite family of extended generalized quadrangles Y(S) of order (q + 1, q -1) constructed in [7] from a family S of planes in PG(5, q) with some conditions. Applying this, Y(S) is shown to be simply connected when S is obtained fr
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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