Affine double spaces of order 3
type: Item
instance of: scholarly article
title: Affine double spaces of order 3
zbMATH Open document ID: 0672.51004
DOI: 10.1007/BF03322448
published in: Results in Mathematics
publication date: 1989-01-01T00:00:00Z
review text: Let (P,\({\mathcal L},\|_{\ell},\|_ r)\) be a double space of order 3. It is shown that every prism configuration in P closes. Thus, by the author, \textit{H. J. Kroll} and \textit{K. Sörensen} [J. Reine Angew. Math. 262/263, 153-157 (1973; Zbl 0265.50003)] it has an algebraic representation in terms of a group with kinematic fibration which is given explicitly.
Mathematics Subject Classification ID: 51A15
zbMATH DE Number: 4100046
zbMATH Keywords: prism space
zbMATH Keywords: double space
zbMATH Keywords: kinematic fibration
author: Helmut Karzel
reviewed by: Hans Havlicek
MaRDI profile type: Publication
cites work: Une caractérisation des espaces affins basée sur la notion de droite
cites work: Q3490539
cites work: Bericht über geschlitzte Inzidenzgruppen
cites work: Q4505223
cites work: Q5682875
cites work: Zur Darstellung zweiseitiger affiner Inzidenzgruppen
cites work: Ein Beweis von H. Karzel und I. Pieper. (On a proof of H. Karzel and I. Pieper)
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description: scientific article; zbMATH DE number 4100046