Embedding of partial spreads in spreads

1978 ◽  
Vol 30 (1) ◽  
pp. 317-324 ◽  
Author(s):  
Albrecht Beutelspacher
Keyword(s):  
Partial Spreads

Some New Replaceable Translation Nets

1977 ◽  
Vol 29 (2) ◽  
pp. 225-237 ◽  
Author(s):  
A. A. Bruen
Keyword(s):  
Partial Spreads

We discuss partial spreads (translation nets) U, V of ∑ = PG(3, q) where U, V cover the same points of ∑ and have no lines in common. Write t = |U| = |V|. It has been shown in a previous paper [4] that t ≧ 2(g — 1) provided q + 4.

Blocking Sets and Skew Subspaces of Projective Space

1980 ◽  
Vol 32 (3) ◽  
pp. 628-630 ◽  
Author(s):  
Aiden A. Bruen
Keyword(s):  
Projective Space ◽  
Projective Plane ◽  
Projective Spaces ◽  
Higher Dimensions ◽  
Blocking Set ◽  
Blocking Sets ◽  
Partial Spreads ◽  
Dimension One

In what follows, a theorem on blocking sets is generalized to higher dimensions. The result is then used to study maximal partial spreads of odd-dimensional projective spaces.Notation. The number of elements in a set X is denoted by |X|. Those elements in a set A which are not in the set Bare denoted by A — B. In a projective space Σ = PG(n, q) of dimension n over the field GF(q) of order q, ┌d(Ωd, Λd, etc.) will mean a subspace of dimension d. A hyperplane of Σ is a subspace of dimension n — 1, that is, of co-dimension one.A blocking set in a projective plane π is a subset S of the points of π such that each line of π contains at least one point in S and at least one point not in S. The following result is shown in [1], [2].

Maximal partial spreads in PG (3, q)

2006 ◽  
Vol 85 (1-2) ◽  
pp. 138-148
Author(s):  
Sandro Rajola ◽  
Maria Scafati Tallini
Keyword(s):  
Partial Spreads

scholarly journals Partial ovoids and partial spreads in hermitian polar spaces

2007 ◽  
Vol 47 (1-3) ◽  
pp. 21-34 ◽  
Author(s):  
J. De Beule ◽  
A. Klein ◽  
K. Metsch ◽  
L. Storme
Keyword(s):  
Polar Spaces ◽  
Partial Spreads ◽  
Partial Ovoids
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