A Hölz-design in the generalized hexagon $H(q)$
De Wispelaere, A. ; Van Maldeghem, H.
Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 781-791 / Harvested from Project Euclid
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In this paper, we give an alternative construction of the Hölz design $D_{Hölz}(q)$, for $q\not\equiv 2$~mod~$3$. If $q\equiv 2$~mod~$3$, then our construction yields a $2-(q^3+1,q+1,\frac{q+4}{3})$-subdesign of the Hölz-design. The construction uses two hexagons embedded in the parabolic quadric $Q(6,q)$.
Publié le : 2006-01-14
Classification:  Split Cayley hexagon,  Hölz-design,  one-point extension,  Ahrens-Szekeres generalized quadrangles,  51E12 
@article{1136902615,
     author = {De Wispelaere, A. and Van Maldeghem, H.},
     title = {A H\"olz-design in the generalized hexagon $H(q)$},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 781-791},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1136902615}
}

De Wispelaere, A.; Van Maldeghem, H. A Hölz-design in the generalized hexagon $H(q)$. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  781-791. http://gdmltest.u-ga.fr/item/1136902615/