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Moufang quadrangles and affine twin buildings of type $\tilde{C}_2$

Bernhard Mühlherr and Hendrik Van Maldeghem

Vol. 20 (2023), No. 2-3, 431–441
Abstract

We prove a group-theoretic criterion in terms of root groups for two subquadrangles Γ1,Γ3 of a Moufang quadrangle Γ to arise from a Moufang twin building Δ of type C~2 as two adjacent residues of distinct special type, naturally embedded in the building at infinity of Δ, which is contained in Γ.

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