Blocking subspaces by lines in \(PG(n,q)\)
type: Item
instance of: scholarly article
title: Blocking subspaces by lines in \(PG(n,q)\)
zbMATH Open document ID: 1068.51005
author: Klaus Metsch
published in: Combinatorica
publication date: 2005-07-05T00:00:00Z
review text: This paper studies the cardinality of a smallest set \(T\) of \(t\)-subspaces of the finite projective space PG\((n,q)\) such that every \(s\)-subspace is incident with at least one element of \(T\), where \(0\leq t\leq s\leq n\). Solution of this problem is known only for very few families of triples \((s,t,n)\). When the answer is known, the corresponding blocking configurations usually are partitions of a subspace PG\((n,q)\) by subspaces of dimension \(t\). One of the exceptions is the solution in the case \(t=1\) and \(n=2s\). In this paper is given the solution of the case when \(t=1\) and \(2s<n\leq 3s-3\) and \(q\) is sufficiently large.
Mathematics Subject Classification ID: 51E23
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 51A05
zbMATH DE Number: 2186327
zbMATH Keywords: finite projective space
zbMATH Keywords: blocking subspace
zbMATH Keywords: line
reviewed by: Milica Stojanović
MaRDI profile type: Publication
full work available at URL: s00493-004-0028-5
OpenAlex ID: W1974353384
DOI: 10.1007/S00493-004-0028-5
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description: scientific article; zbMATH DE number 2186327