Startseite SPG systems and semipartial geometries
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SPG systems and semipartial geometries

Veröffentlicht/Copyright: 23. Januar 2006
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Advances in Geometry
Aus der Zeitschrift Band 1 Heft 3

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

Heruntergeladen am 28.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/advg.2001.015/html?lang=de
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