Generalized cones and Laguerre planes
type: Item
instance of: scholarly article
title: Generalized cones and Laguerre planes
zbMATH Open document ID: 0845.51005
DOI: 10.1007/BF02844843
publication date: 1995-06-01T00:00:00Z
review text: A generalized cone \(CG(k,n)\) is an incidence structure which generalizes the notion of a Laguerre plane by leaving out the axiom of touching. It has a fixed type \(k(k + 1 = \) length of all circles), a well defined order \(n\) (length of all generators) and point number \(v = n (k + 1)\). In the paper generalized cones and their automorphism groups are investigated, embeddability into Laguerre planes is discussed and some characterizations of ovoidal (Miquelian) Laguerre planes are given.
reviewed by: Dieter Betten
Mathematics Subject Classification ID: 51B99
Mathematics Subject Classification ID: 51E25
zbMATH DE Number: 760331
zbMATH Keywords: generalized cones
zbMATH Keywords: automorphism groups
zbMATH Keywords: embeddability
zbMATH Keywords: Laguerre planes
author: Giorgio Faina
MaRDI profile type: Publication
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published in: Rendiconti del Circolo Matematico di Palermo
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description: scientific article; zbMATH DE number 760331