A Holz-Design In The Generalized Hexagon H(Q)

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN（2006）

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摘要

In this paper, we give an alternative construction of the Holz design D-Holz(q), for q not equal 2 mod 3. If q = 2 mod 3, then our construction yields a 2 - (q(3) + 1, q + 1, q+4/3)-subdesign of the Holz-design. The construction uses two hexagons embedded in the parabolic quadric Q (6, q).

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关键词

split Cayley hexagon, Holz-design, one-point extension, Ahrens-Szekeres generalized quadrangles

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