Central collineations and the parallel axiom in stable planes
type: Item
instance of: scholarly article
title: Central collineations and the parallel axiom in stable planes
zbMATH Open document ID: 0463.51016
DOI: 10.1007/BF01447429
author: Rainer Löwen
published in: Geometriae Dedicata
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 51H10
zbMATH DE Number: 3725211
zbMATH Keywords: central collineations
zbMATH Keywords: parallel axiom
zbMATH Keywords: reflections
zbMATH Keywords: real and complex affine, projective and punctured projective planes
zbMATH Keywords: stable planes
MaRDI profile type: Publication
cites work: Topologische Geometrien auf dem Möbiusband
cites work: Die komplex-hyperbolische Ebene
cites work: The Monotone Union of Open n-Cells is an Open n-Cell
cites work: Q5643279
cites work: Automorphismengruppen von lokalkompakten zusammenhängenden Quasikörpern und Translationsebenen
cites work: Homologies and elations in compact, connected projective planes
cites work: Über Bahnen lokal kompakter Gruppen auf Flächen
cites work: A Topological Characterization of the Dilation in E n
cites work: Vierdimensionale stabile Ebenen
cites work: Symmetric planes
cites work: Q3911029
cites work: Stable planes of low dimension admitting reflections at many lines
cites work: Q3229429
cites work: Kollineationsgruppen ebener Geometrien
cites work: Topological planes
cites work: Geometries on surfaces
cites work: Kollineationsgruppen kompakter, vier-dimensionaler Ebenen
cites work: Kollineationsgruppen kompakter 4-dimensionaler Ebenen. II
cites work: Homogene 4-dimensionale affine Ebenen. (Homogeneous 4-dimensional affine planes)
cites work: Reelle Kollineationen der komplexen projektiven Ebene
cites work: Elations in four-dimensional planes
cites work: Fixed-Point Theorems for Periodic Transformations
cites work: New results and old problems in finite transformation groups
cites work: Q5603756
cites work: Sphärische Kreisebenen
cites work: Vierdimensionale affine Ebenen
full work available at URL: https://doi.org/10.1007/bf01447429
OpenAlex ID: W1574963207
description: scientific article; zbMATH DE number 3725211