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SPG systems and semipartial geometries
Veröffentlicht/Copyright:
23. Januar 2006
First, the paper contains new necessary and sufficient conditions for a set of subspaces of PG(n,q) to be an SPG regulus. Then a new construction method for semipartial geometries is given. As particular cases we find known classes of partial and semipartial geometries, but also new classes of semipartial geometries. The new semipartial geometries have parameters s=qn - 1, t = qn+1, α = 2qn-1, μ = 2qn(qn - 1), with either q any prime power and n=2, or q=2h, h ≥ 1, and n ≥ 3.
Published Online: 2006-01-23
Published in Print: 2001-08-16
Copyright © 2001 by Walter de Gruyter GmbH & Co. KG
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Artikel in diesem Heft
- Near hexagons with four points on a line
- SPG systems and semipartial geometries
- On threefolds admitting a bielliptic curve as abstract complete intersection
- The modularity of the Barth--Nieto quintic and its relatives
- Finite presentations for the mapping class group via the ordered complex of curves
Artikel in diesem Heft
- Near hexagons with four points on a line
- SPG systems and semipartial geometries
- On threefolds admitting a bielliptic curve as abstract complete intersection
- The modularity of the Barth--Nieto quintic and its relatives
- Finite presentations for the mapping class group via the ordered complex of curves