Near polygons and Fischer spaces
type: Item
instance of: scholarly article
title: Near polygons and Fischer spaces
zbMATH Open document ID: 0801.51012
DOI: 10.1007/BF01264034
author: H. A. Wilbrink
author: Andries E. Brouwer
author: Arjeh M. Cohen
author: J. I. Hall
published in: Geometriae Dedicata
publication date: 1994-05-18T00:00:00Z
review text: The concept of near polygon was introduced by \textit{E. Shult} and \textit{A. Yanushka} [Geom. Dedicata 9, 1-72 (1980; Zbl 0433.51008)] as a tool in the study of systems of lines in a Euclidean space. In this paper, the authors construct some infinite families of near polygons, and classify near hexagons with lines of length 3 and with quads. This paper is a compilation of three reports [\textit{A. E. Brouwer}, `The classification of near hexagons with lines of size three', Report R 85-16, Instit. f. Elektroniske Systemer, Aalborg/DK (Sept. 1985); \textit{A. E. Brouwer}, \textit{A. M. Cohen} and \textit{H. A. Wilbrink}, `Near polygons with lines of size three and Fisher spaces', Math. Centr. Report ZW 191, Amsterdam (May 1983); and \textit{A. E. Brouwer} and \textit{H. A. Wilbrink}, Geom. Dedicata 14, 145-176 (1983; Zbl 0521.51013)]. The third author was referee of the second report mentioned above.
Mathematics Subject Classification ID: 51E30
Mathematics Subject Classification ID: 51E12
zbMATH DE Number: 569273
zbMATH Keywords: near polygons
zbMATH Keywords: near hexagons
reviewed by: Pavel Burda
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01264034
OpenAlex ID: W2108226886
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description: scientific article; zbMATH DE number 569273