Moufang sets of type \(F_4\).
type: Item
instance of: scholarly article
title: Moufang sets of type \(F_4\).
zbMATH Open document ID: 1198.20028
author: Tom De Medts
author: Hendrik Van Maldeghem
published in: Mathematische Zeitschrift
publication date: 2010-06-04T00:00:00Z
review text: Moufang sets are the Tits buildings associated with simple algebraic groups of relative rank one. The authors consider simple algebraic groups of exceptional type \(F_4\) and describe the corresponding Moufang sets explicitly in terms of absolute points of polarities of octonion planes (i.e.\ proper Moufang planes). Moreover, it is shown that every automorphism of the exceptional unital arising from such a polarity is induced by a collineation of the ambient projective octonion plane.
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 20E42
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 51A45
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 17C40
zbMATH DE Number: 5716905
zbMATH Keywords: Moufang sets
zbMATH Keywords: Tits buildings
zbMATH Keywords: unitals
zbMATH Keywords: octonion algebras
zbMATH Keywords: Albert algebras
MaRDI profile type: Publication
full work available at URL: s00209-009-0527-6
OpenAlex ID: W2037523723
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DOI: 10.1007/S00209-009-0527-6
description: scientific article; zbMATH DE number 5716905