Journalartikel
Autorenliste: Muehlherr, Bernhard; Weiss, Richard M.
Jahr der Veröffentlichung: 2022
Seiten: 636-663
Zeitschrift: Indagationes Mathematicae
Bandnummer: 33
Heftnummer: 3
ISSN: 0019-3577
eISSN: 1872-6100
Open Access Status: Green
DOI Link: https://doi.org/10.1016/j.indag.2021.12.007
Verlag: Elsevier
Abstract:
Veldkamp polygons are certain graphs Gamma = (V, E) such that for each v is an element of V, Gamma(v) is endowed with a symmetric anti-reflexive relation (v). These relations are all trivial if and only if Gamma is a thick generalized polygon. A Veldkamp polygon is called flat if no two vertices have the same set of vertices that are opposite in a natural sense. We explore the connection between Veldkamp quadrangles and polar spaces. Using this connection, we give the complete classification of flat Veldkamp quadrangles in which some but not all of the relations (v) are trivial. (C) 2021 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
Zitierstile
Harvard-Zitierstil: Muehlherr, B. and Weiss, R. (2022) Veldkamp quadrangles and polar spaces, Indagationes Mathematicae, 33(3), pp. 636-663. https://doi.org/10.1016/j.indag.2021.12.007
APA-Zitierstil: Muehlherr, B., & Weiss, R. (2022). Veldkamp quadrangles and polar spaces. Indagationes Mathematicae. 33(3), 636-663. https://doi.org/10.1016/j.indag.2021.12.007
Schlagwörter
Building; Polar space; Tits polygon
