Polarities and planar collineations of Moufang planes
type: Item
instance of: scholarly article
title: Polarities and planar collineations of Moufang planes
zbMATH Open document ID: 1281.51003
author: Norbert Knarr
author: Markus Stroppel
published in: Monatshefte für Mathematik
publication date: 2013-03-18T00:00:00Z
review text: The authors study collineations and correlations of Moufang planes. They show that conjugacy classes of Baer involutions are not refined if one restricts the conjugating element to the stabilizer of a quadrangle, and then they establish an interrelation between Baer involutions and polarities. Finally, they use their results to prove a transitivity result for centralizers of polarities (Theorem 5.3).
reviewed by: V. Napolitano
Mathematics Subject Classification ID: 51A35
Mathematics Subject Classification ID: 51A10
Mathematics Subject Classification ID: 17A35
Mathematics Subject Classification ID: 17A36
Mathematics Subject Classification ID: 17A75
Mathematics Subject Classification ID: 51A40
zbMATH DE Number: 6146027
zbMATH Keywords: Moufang plane
zbMATH Keywords: translation plane
zbMATH Keywords: Baer involution
zbMATH Keywords: polarity
zbMATH Keywords: conjugacy
zbMATH Keywords: semifield
zbMATH Keywords: division algebra
zbMATH Keywords: alternative algebra
zbMATH Keywords: composition algebra
zbMATH Keywords: octonion field
zbMATH Keywords: automorphism
zbMATH Keywords: autotopism
MaRDI profile type: Publication
full work available at URL: s00605-012-0409-6
OpenAlex ID: W2096633657
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DOI: 10.1007/S00605-012-0409-6
description: scientific article; zbMATH DE number 6146027