Journal article

Publication year: 2022

Pages: 636-663

Journal: Indagationes Mathematicae

Volume number: 33

Issue number: 3

ISSN: 0019-3577

eISSN: 1872-6100

Open access status: Green

DOI Link: https://doi.org/10.1016/j.indag.2021.12.007

Publisher: 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.

Harvard Citation style: 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 Citation style: 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