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Automorphisms and opposition in spherical buildings of exceptional type, II: Moufang hexagons

James Parkinson and Hendrik Van Maldeghem

Vol. 20 (2023), No. 2-3, 443–470

We classify the automorphisms of a Moufang hexagon mapping no chamber to an opposite chamber (such automorphisms are called domestic). This forms part of a larger program to classify domestic automorphisms of Moufang spherical buildings.

Dedicated to Jacques Tits

Moufang hexagons, domestic automorphisms, opposition diagrams
Mathematical Subject Classification
Primary: 20E42, 51E24
Received: 25 August 2022
Revised: 24 November 2022
Accepted: 22 December 2022
Published: 13 September 2023
James Parkinson
School of Mathematics and Statistics
The University of Sydney
Sydney, NSW
Hendrik Van Maldeghem
Vakgroep Wiskunde: Algebra en Meetkunde
Ghent University