Co-Minkowski spaces, their reflection structure and \(K\)-loops
type: Item
instance of: scholarly article
title: Co-Minkowski spaces, their reflection structure and \(K\)-loops
zbMATH Open document ID: 1012.20064
DOI: 10.1016/S0012-365X(01)00396-X
published in: Discrete Mathematics
publication date: 2002-12-02T00:00:00Z
review text: The authors consider co-Minkowski planes and co-Minkowski cones over a field \(F\). Assuming that the field \(F\) has only two square classes and that \(-1\) is not a square in \(F\), they introduce a reflection structure on the cone of a co-Minkowski plane. From this situation they obtain a \(K\)-loop. If \(2\) is a square in \(F\), then this \(K\)-loop is fibered.
reviewed by: Erich W. Ellers
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 51J99
zbMATH DE Number: 1838889
zbMATH Keywords: \(K\)-loops
zbMATH Keywords: reflection structures
zbMATH Keywords: quadratic spaces
zbMATH Keywords: co-Minkowski planes
author: Luca Giuzzi
author: Helmut Karzel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1838889