Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang
type: Item
instance of: scholarly article
title: Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang
zbMATH Open document ID: 1059.51002
DOI: 10.1016/S0315-0860(03)00049-1
author: Cinzia Cerroni
published in: Historia Mathematica
publication date: 2004-11-23T00:00:00Z
review text: A very good presentation of the development of non-Desarguesian geometry starting with Hilbert's Chapter V of \textit{Grundlagen der Geometrie} and ending with Moufang's research in the 1930s. Moulton planes, finite non-Desarguesian planes, as well as the work of Max Dehn complete the picture. Biographical notes of the mathematicians involved precede the presentation of their work. The reviewer found only one somewhat misleading remark, namely on p.\ 328, that Wagner answered in 1937 a question posed by Dehn in 1922. Wagner's paper contains only a partial answer. The complete answer was provided by \textit{S. A. Amitsur} [J. Algebra 3, 304--359 (1966; Zbl 0203.04003)].
reviewed by: Victor V. Pambuccian
Mathematics Subject Classification ID: 51-03
Mathematics Subject Classification ID: 51A35
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 01A70
Mathematics Subject Classification ID: 17D05
zbMATH DE Number: 2117929
zbMATH Keywords: non-Desarguesian geometry
zbMATH Keywords: quasifield
zbMATH Keywords: alternative ring
MaRDI profile type: Publication
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cites work: Ruth Moufang, 1905-1977
description: scientific article; zbMATH DE number 2117929