Article
Licensed
Unlicensed
Requires Authentication
SPG systems and semipartial geometries
Published/Copyright:
January 23, 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
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- 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
Articles in the same Issue
- 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
