On linear representations of near hexagons
type: Item
instance of: scholarly article
title: On linear representations of near hexagons
zbMATH Open document ID: 0920.51002
author: Bart De Bruyn
author: F. De Clerck
published in: European Journal of Combinatorics
publication date: 1999-09-13T00:00:00Z
review text: The authors discuss linear representations of near polygons in affine spaces. All linear representations of near hexagons in an affine space of order \(q\geq 3\) and dimension up to seven are classified. If the dimension of the affine space is at least eight, then it is proved that the near hexagon necessarily contains a quad of type \(T_2^*({\mathcal O})\) and that every such quad has a rosette of ovoids, the authors conjecture that no such example exists. Also the case in which all quads are grids is considered, and a complete classification is obtained in this case.
Mathematics Subject Classification ID: 51E12
Mathematics Subject Classification ID: 51A45
zbMATH DE Number: 1251348
zbMATH Keywords: linear representations
zbMATH Keywords: near polygons
zbMATH Keywords: affine space
zbMATH Keywords: rosette of ovoids
reviewed by: T. Thrivikraman
MaRDI profile type: Publication
full work available at URL: eujc.1998.0260
OpenAlex ID: W122599093
DOI: 10.1006/EUJC.1998.0260
description: scientific article; zbMATH DE number 1251348