On 2-designs
type: Item
instance of: scholarly article
title: On 2-designs
zbMATH Open document ID: 0575.05008
DOI: 10.1016/0097-3165(85)90064-0
author: Joel C. Fowler
author: Vera T. Sós
author: Richard M. Wilson
author: P. Erdős
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: The set of \(b\) for which there exists a linear space with \(v\) points and \(b\) lines is studied very sharply, particularly for large \(v\) and for \(v\) of the form \(n^2+n+1\). Interesting is an extremal case: if \(v=n^2+n+1\), \(b=n^22n+1\) the space is obtained from a projective plane replacing one of its lines with a near pencil or a projective plane. Conjectures and problems are given too.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 51A05
Mathematics Subject Classification ID: 51E30
zbMATH DE Number: 3918373
zbMATH Keywords: linear space
zbMATH Keywords: projective plane
Wikidata QID: Q106009488
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90064-0
OpenAlex ID: W2031498234
cites work: Q5790167
cites work: On a Problem of Groübaum
cites work: A short proof of Totten's classification of restricted linear spaces
cites work: On the difference between consecutive primes
cites work: Q5614677
cites work: Basic properties of restricted linear spaces
cites work: Classification of Restricted Linear Spaces
cites work: Q4078046
description: scientific article; zbMATH DE number 3918373