Moufang quadrangles and affine twin buildings of type C2

We prove a group-theoretic criterion in terms of root groups for two subquadrangles $Γ_{1}, Γ_{3}$ of a Moufang quadrangle $Γ$ to arise from a Moufang twin building $Δ$ of type ${\tilde{C}}_{2}$ as two adjacent residues of distinct special type, naturally embedded in the building at infinity of $Δ$ , which is contained in $Γ$ .

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Keywords

Moufang quadrangles, twin buildings, Moufang buildings

Mathematical Subject Classification

Primary: 51E24

Milestones

Received: 17 December 2022

Revised: 14 March 2023

Accepted: 4 April 2023

Published: 13 September 2023

Authors

Bernhard Mühlherr
Mathematisches Institut Universität Giessen Giessen Germany

Hendrik Van Maldeghem
Vakgroep Wiskunde: Algebra en Meetkunde University of Ghent Gent Belgium

Vol. 20, No. 2-3, 2023

Bernhard Mühlherr and Hendrik Van Maldeghem

Abstract

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Keywords

Mathematical Subject Classification

Milestones

Authors