We define the notion of regular point \(p\) in a generalized hexagon and show how a derived geometry at such a point can be defined. We motivate this by proving that, for finite generalized hexagons of order \((s, t)\), this derivation is a generalized quadrangle iff \(s=t\). Moreover, if the genera
Generalized hexagons of even order
β Scribed by Arjeh M. Cohen; Bruce N. Cooperstein
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 450 KB
- Volume
- 106-107
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Cohen, A.M. and B.N. Cooperstein, Generalized hexagons of even order, Discrete Mathematics 106/107 (1992) 139-146.
An elaborate version is given of Kantor's construction of the known generalized hexagons of order (9, q3) and of order (9,9) for 9 a power of 2.
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