Sets of generators blocking all generators in finite classical polar spaces

Details Sets of generators blocking all generators in finite classical polar spaces Sets of generators blocking all generators in finite classical polar spaces

2012-02-19

arxiv.org/abs/1202.4143v1

Mathematics

Combinatorics

accepted for J. Comb. Theory A

Scientific paper

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^2), 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.

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