منابع مشابه
Subregular Spreads of Pg(2n + 1; Q)
In this paper, we develop some of the theory of spreads of projective spaces with an eye towards generalizing the results of Bruck 2]. In particular , we wish to generalize the notion of a subregular spread to the higher dimensional case. Most of the theory here was anticipated by Bruck in 3], 4], and 5]; however, he never provided a detailed formulation. We ll this gap here by developing the c...
متن کاملRegulus-free Spreads of PG(3, q)
An old conjecture of Bruck and Bose is that every spread of = PG(3; q) could be obtained by starting with a regular spread and reversing reguli. Although it was quickly realized that this conjecture is false, at least for q even, there still remains a gap in the spaces for which it is known that there are spreads which are regulus{free. In several papers Denniston, Bruen, and Bruen and Hirschfe...
متن کاملBook spreads in PG(7, 2)
An (n, q, r, s) book is a collection of r-subspaces in PG(n, q) called pages, which cover the whole projective space and intersect in a common s-subspace called the spine such that any point outside the spine is in exactly one page. An (n, q, r, s) book t-spread is a t-spread in PG(n, q) for which there exists an (n, q, r, s) book, such that the points of each page of this book and hence the po...
متن کاملSome subspaces of the projective space PG(Λ^kV) related to regular spreads of PG(V)
Let V be a 2m-dimensional vector space over a field F (m ≥ 2) and let k ∈ {1, . . . , 2m − 1}. Let A2m−1,k denote the Grassmannian of the (k − 1)-dimensional subspaces of PG(V ) and let egr denote the Grassmann embedding of A2m−1,k into PG( ∧k V ). Let S be a regular spread of PG(V ) and let XS denote the set of all (k − 1)-dimensional subspaces of PG(V ) which contain at least one line of S. T...
متن کاملBlocking sets in PG ( 2 , p ) for small p , and partial spreads in PG ( 3 , 7 )
We find all minimal blocking sets of size 32 ðpþ 1Þ in PGð2; pÞ for p < 41. There is one new sporadic example, for p 1⁄4 13. We find all maximal partial spreads of size 45 in PGð3; 7Þ. 1 Minimal nontrivial blocking sets in PG(2, p) A blocking set in a projective plane is a set of points meeting all lines. It is called nontrivial when it does not contain a line. An m-secant of a set is a line me...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2001
ISSN: 1071-5797
DOI: 10.1006/ffta.2000.0320