Faulkner geometry
type: Item
instance of: scholarly article
title: Faulkner geometry
zbMATH Open document ID: 0843.51010
DOI: 10.1007/BF00181523
author: Teresa Deltz Magnus
published in: Geometriae Dedicata
publication date: 1996-01-01T00:00:00Z
review text: Axioms are presented for a Barbilian geometry of dimension \(n \geq 2\) over a ring for which \(ab = 1\) implies \(ba = 1\). It is shown that any Faulkner geometry (i.e. a Barbilian geometry with additional axioms) of dimension \(n \geq 3\) is coordinatized by a unique associative two-sided units ring \(R\) and that the group generated by all transvections is a group of Steinberg type over \(R\).
Mathematics Subject Classification ID: 51C05
zbMATH DE Number: 843599
zbMATH Keywords: ring geometry
zbMATH Keywords: groups of Steinberg type
zbMATH Keywords: Barbilian geometry
reviewed by: Dirk Keppens
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 843599