Tactical decompositions of Steiner systems and orbits of projective groups
type: Item
instance of: scholarly article
title: Tactical decompositions of Steiner systems and orbits of projective groups
zbMATH Open document ID: 0967.05009
DOI: 10.1023/A:1026535809272
author: Keldon Drudge
published in: Journal of Algebraic Combinatorics
publication date: 2001-09-04T00:00:00Z
review text: The author strengthens the upper bound in Block's lemma for the case of 2-designs with \(\lambda= 1\). He then applies his results to \(\text{PG}(n,g)\). It is unfortunate that the definition given for a Steiner system is incorrect. While 2-designs with \(\lambda= 1\) are certainly Steiner systems, the converse is not true. Fortunately, the incorrect nomenclature does not affect the results.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 1553312
zbMATH Keywords: tactical decompositions
zbMATH Keywords: 2-designs
zbMATH Keywords: Steiner system
reviewed by: R. G. Stanton
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1553312