Abstract
In this note we show the existence of a spread which is not a dual spread, thus answering a question in [1]. We also obtain some related results on spreads and partial spreads.Let ∑ = PG(2t-l, F) be a projective space of odd dimension (2t-l, ≥2) over the field F. In accordance with [1] we make the following definitions. A partial spread S of ∑ is a collection of (t-l)-dimensional projective subspaces of ∑ which are pairwise disjoint (skew).
Publisher
Canadian Mathematical Society
Cited by
13 articles.
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1. On line covers of finite projective and polar spaces;Designs, Codes and Cryptography;2019-01-03
2. Linearly small elation quadrangles;Journal of Geometry;2009-11
3. Infinite Baer nets;Journal of Geometry;2000-07
4. Conical, ruled and deficiency one translation planes;Bulletin of the Belgian Mathematical Society - Simon Stevin;1999-01-01
5. Derivable Nets May be Embedded in Nonderivable Planes;Groups and Geometries;1998