A short proof of Totten's classification of restricted linear spaces
type: Item
instance of: scholarly article
title: A short proof of Totten's classification of restricted linear spaces
zbMATH Open document ID: 0544.51001
DOI: 10.1007/BF00211709
author: Joel C. Fowler
published in: Geometriae Dedicata
publication date: 1984-01-01T00:00:00Z
review text: Recall that a linear space \((=pairwise\) balanced design with \(\lambda =1)\) is called restricted if it satisfies \((b-v)^ 2\leq v\), where as usual b and v denote the number of lines and points, respectively. In 1976, \textit{J. Totten} classified all restricted linear spaces in his paper in Can. J. Math. 28, 321-333 (1976; Zbl 0308.05021). In the present paper, the author presents a simpler alternative proof of Totten's theorem; one main aspect is the use of techniques from linear algebra.
reviewed by: Dieter Jungnickel
Mathematics Subject Classification ID: 51A05
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 3866067
zbMATH Keywords: restricted linear spaces
zbMATH Keywords: Totten's theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3866067