\(GF(2)\)-expansions
type: Item
instance of: scholarly article
title: \(GF(2)\)-expansions
zbMATH Open document ID: 0889.51014
DOI: 10.1023/A:1004913528398
author: Barbara Baumeister
author: Thomas Meixner
author: Antonio Pasini
published in: Geometriae Dedicata
publication date: 1998-06-22T00:00:00Z
review text: Let \(\Gamma\) be a finite geometry of rank \(n\geq 2\) with a selected type of elements called ``points''. Under mild hypotheses on \(\Gamma\) the authors consider an affine extension of \(\Gamma\) to \(AG(m,2)\), where \(m\) is the number of ``points'' in \(\Gamma\). The authors prove that geometries obtained by applying this construction to matroids are simply connected. This result is applied for the study of universal covers of certain geometries arising from hyperbolic quadrics and symplectic varieties over \(GF(q)\).
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 1089234
zbMATH Keywords: Coxeter complexes
zbMATH Keywords: \(GF(2)\)-modules
zbMATH Keywords: affine expansions
reviewed by: László A. Székely
MaRDI profile type: Publication
full work available at URL: a:1004913528398
OpenAlex ID: W155494533
description: scientific article; zbMATH DE number 1089234