The Minkowski group
type: Item
instance of: scholarly article
title: The Minkowski group
zbMATH Open document ID: 0539.51007
DOI: 10.1007/BF00211705
published in: Geometriae Dedicata
publication date: 1984-01-01T00:00:00Z
review text: The author investigates the length problem in Euclidean and Minkowskian vector spaces, i.e. spaces V with dim \(V\geq 3\) and \(\dim Rad(V)=1\). Let \(g\in 0^+(V)\), the Minkowskian group of V, then \(g=h_ 1h_ 2...h_ s\), where the \(h_ i\) are halfturns. The author determines the minimal number s as a function of dim B(g), where \(B(g)=\{v^ g-v| v\in V\}=\) the path of g. The proofs depend heavily on the results of the author's paper in Abh. Math. Semin. Univ. Hamb. 46, 97-127 (1978; Zbl 0367.50002).
Mathematics Subject Classification ID: 51F25
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 3857840
zbMATH Keywords: motion groups
zbMATH Keywords: Bachmann characterization
zbMATH Keywords: group-theoretic
zbMATH Keywords: geometric axioms
zbMATH Keywords: Minkowskian geometry
author: Erich W. Ellers
reviewed by: Gernot Stroth
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00211705
OpenAlex ID: W2017122068
description: scientific article; zbMATH DE number 3857840