๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Triangular extended generalized quadrangles

โœ Scribed by P. H. Fisher; S. A. Hobart


Publisher
Springer
Year
1991
Tongue
English
Weight
274 KB
Volume
37
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

โœฆ 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).


๐Ÿ“œ SIMILAR VOLUMES


Extending generalized quadrangles
โœ P.H Fisher ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 393 KB
Classification of extended generalized q
โœ Alberto Del Fra; Dina Ghinelli ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 688 KB

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 Construction of Extended Generalized Q
โœ Satoshi Yoshiara ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

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.

The Universal Covers of a Family of Exte
โœ S. Yoshiara ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

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