An essay on the Ree octagons
type: Item
instance of: scholarly article
title: An essay on the Ree octagons
zbMATH Open document ID: 0823.51008
DOI: 10.1023/A:1022481514132
author: Michael Joswig
author: Hendrik Van Maldeghem
published in: Journal of Algebraic Combinatorics
publication date: 1995-05-11T00:00:00Z
review text: The authors give an explicit coordinatization of the Moufang generalized octagons associated with the Ree groups of type \(^ 2F_ 4\). This approach is used to give numerous applications, e.g. to the study of transitivity properties, suboctagons, subquadrangles and the determination of the groups of projectivities.
Mathematics Subject Classification ID: 51E12
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 20D06
zbMATH DE Number: 754559
zbMATH Keywords: building
zbMATH Keywords: coordinatization
zbMATH Keywords: Moufang generalized octagons
zbMATH Keywords: Ree groups
reviewed by: Dieter Jungnickel
MaRDI profile type: Publication
cites work: The nonexistence of certain generalized polygons
cites work: Q3785504
cites work: Algebraic properties of quadratic quaternary rings
cites work: Q3800645
cites work: The Nonexistence of Certain Topological Polygons
cites work: Q3344217
cites work: Q4692803
cites work: The geometry of root subgroups in Ree groups of type \(^ 2F_ 4\)
cites work: A restriction on the parameters of a suboctagon
cites work: Q5685299
cites work: Ovoides et groupes de Suzuki
cites work: Buildings of spherical type and finite BN-pairs
cites work: Non-existence de certains polygones généralises. I
cites work: Moufang Octagons and the Ree Groups of Type 2 F 4
cites work: Generalized polygons with valuation
cites work: A configurational characterization of the Moufang generalized polygons
cites work: Q3973807
cites work: Q4867066
cites work: On finite Moufang polygons
cites work: The nonexistence of certain Moufang polygons
full work available at URL: a:1022481514132
OpenAlex ID: W137540981
description: scientific article; zbMATH DE number 754559