On finite geometries of type \(B_ 3\)
type: Item
instance of: scholarly article
title: On finite geometries of type \(B_ 3\)
zbMATH Open document ID: 0573.51003
DOI: 10.1016/0097-3165(85)90037-8
author: Udo Ott
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: In the spirit of the theory of diagrams introduced by \textit{F. Buekenhout} [J. Comb. Theory, Ser. A 27, 121-151 (1979; Zbl 0419.51003)], geometries G with diagram \(\circ_x\diagrbar\circ_x\diagrBar\circ_x\) are considered. Using representation theory it is shown that if G is connected with a non-incident point-plane pair, then G is a building (in the sense of Tits).
Mathematics Subject Classification ID: 51B05
zbMATH DE Number: 3915086
zbMATH Keywords: Tits building
zbMATH Keywords: galleries in finite geometries
zbMATH Keywords: diagrams
zbMATH Keywords: representation theory
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90037-8
OpenAlex ID: W2064734761
cites work: Diagrams for geometries and groups
cites work: Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
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cites work: Some remarks on representation theory in finite geometry
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description: scientific article; zbMATH DE number 3915086