Pappian affine Klingenberg planes
type: Item
instance of: scholarly article
title: Pappian affine Klingenberg planes
zbMATH Open document ID: 0821.51002
DOI: 10.1007/BF01406835
published in: Journal of Geometry
publication date: 1995-05-10T00:00:00Z
review text: If the epimorphic image \(\alpha(\Omega)\) of an affine Klingenberg plane \((\Omega, \alpha)\) is a Fano plane then three configuration conditions (including a Pappus-like theorem) imply that \(\Omega\) is isomorphic to the affine Klingenberg plane over a commutative local ring \(R\), where \(1 + 1\) is a non-unit. The corresponding result for the case that \(\alpha(\Omega)\) is not a Fano plane has been proved by \textit{H. Mäurer} and the author in Ann. Discrete Math. 37, 281-291 (1988; Zbl 0652.51008).
Mathematics Subject Classification ID: 51C05
Mathematics Subject Classification ID: 51A20
zbMATH DE Number: 739187
zbMATH Keywords: Pappus configuration
zbMATH Keywords: affine Klingenberg plane
author: Wolfgang Nolte
reviewed by: Dirk Keppens
MaRDI profile type: Publication
cites work: Q4150278
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description: scientific article; zbMATH DE number 739187