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Blocking Subspaces By Lines In PG(n, q)

✍ Scribed by Klaus Metsch


Book ID
106167516
Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
349 KB
Volume
24
Category
Article
ISSN
0209-9683

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## Abstract In a previous paper 1, all point sets of minimum size in __PG__(2,__q__), blocking all external lines to a given irreducible conic ${\cal C}$, have been determined for every odd __q__. Here we obtain a similar classification for those point sets of minimum size, which meet every externa

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It will be shown that the smallest set B of points on the parabolic quadric Q(2n, q), q ≥ 4 and n ≥ 3, with the property that every (n -2)-dimensional subspace on Q(2n, q) has at least one point in common with B, consists of the non-singular points of an induced quadric π n-4 Q -(5, q) ⊆ Q(2n, q), w