Sets of generators blocking all generators in finite classical polar\n spaces

2012/02/19 by Jan De Beule, De Beule, Jan, Anja Hallez +5
Computer Science · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1202.4143

openalex publication_date 2012/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce generator blocking sets of finite classical polar spaces. These\nsets are a generalisation of maximal partial spreads. We prove a\ncharacterization of these minimal sets of the polar spaces Q(2n,q), Q-(2n+1,q)\nand H(2n,q²), in terms of cones with vertex a subspace contained in the polar\nspace and with base a generator blocking set in a polar space of rank 2.\n

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