Triangular extended generalized quadrangles
โ Scribed by P. H. Fisher; S. A. Hobart
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 274 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0046-5755
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โฆ Synopsis
In this paper, we continue the study from [2] of what are now called triangular extended generalized quadrangles. In particular, we determine all parameter sets such that the point graph is strongly regular with intersection number/~ = 2(t + 1).
๐ SIMILAR VOLUMES
Del Fra, A. and D. Ghinelli, Classification of extended generalized quadrangles with maximum diameter, Discrete Mathematics 105 (1992) 13-23. Let S be an extended generalized quadrangle of order (s, t). Recently it has been proved that the diameter A of the point-graph S satisfies A s s + 1 (see Cam
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.
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