Twisted projective spaces and linear completions of some partial Steiner triple systems
type: Item
instance of: scholarly article
title: Twisted projective spaces and linear completions of some partial Steiner triple systems
zbMATH Open document ID: 1155.51004
published in: Beiträge zur Algebra und Geometrie
publication date: 2008-09-22T00:00:00Z
full work available at URL: 5.html
review text: Two important problems of finite incidence structures may (roughly) be formulated as follows: (1) find and classify the linear completions of some partial Steiner triple systems; (2) construct linear spaces (Steiner triple systems) which are not projective spaces, but `strongly resemble' Fano projective spaces (in particular, contain many projective planes). In this paper the author characterizes a class of Steiner triple systems, all of whose members can be obtained as a linear completion of some \((15_4 20_3)\) multi-Veblen configuration. The geometry of these completions is also investigated in detail.
reviewed by: József Szilasi
Mathematics Subject Classification ID: 51E14
Mathematics Subject Classification ID: 51E30
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 5345493
zbMATH Keywords: Desargues configuration
zbMATH Keywords: Veblen configuration
zbMATH Keywords: partial Steiner triple system
zbMATH Keywords: graph
zbMATH Keywords: combinatorical Grassmannian
author: M. Prażmowska
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5345493