Sets of generators blocking all generators in finite classical polar spaces

Sets of generators blocking all generators in finite classical polar spaces

We introduce generator blocking sets of finite classical polar spaces. These sets are a generalisation of maximal partial spreads. We prove a characterization of these minimal sets of the polar spaces Q(2n, q), Q(2n + 1, q) and H(2n, q), in terms of cones with vertex a subspace contained in the polar space and with base a generator blocking set in a polar space of rank 2. keywords: partial spre...

Blocking sets of H(n, q2) with respect to generators

We construct minimal blocking sets with respect to generators on the Hermitian surfaces H(n, q) when n and q are both odd. A blocking set arises from q + 1 quadrics in PG(n, q) whose polarities commute with a unitary polarity, constructed from the union of Baer sub-quadrics with the common intersections deleted.

Substructures of Finite Classical Polar Spaces

We survey results and particular facts about (partial) ovoids, (partial) spreads, m-systems, m-ovoids, covers and blocking sets in finite classical polar spaces. second revision, 6th januari

Closed Sets and Generators in Ternary Hamming Spaces 1

The n-dimensional ternary Hamming space is Tn, where T = f0; 1; 2g. Three points in Tn form a line if they have in common excactly n 1 components. A subset of Tn is closed if, whenever it contains two points of a line, it contains also the third one. A generator is a set, whose closure is Tn. In this paper, we investigate several properties of closed sets and generators. Two alternative proofs ...

Bounded generators of linear spaces