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https://hdl.handle.net/2440/3586
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Type: | Journal article |
Title: | Subquadrangles of order s of generalized quadrangles of order (s,s2), Part I |
Author: | Brown, M. Thas, J. |
Citation: | Journal of Combinatorial Theory: Series A, 2004; 106(1):15-32 |
Publisher: | Academic Press Inc Elsevier Science |
Issue Date: | 2004 |
ISSN: | 0097-3165 |
Abstract: | In this paper, subquadrangles of order s of generalized quadrangles (GQs) of order (s, s2) are investigated. In the case where L is a dual flock GQ of order (s, s2), s even, the classification of subquadrangles of order s is completed. In the case where E is an egg good at an element and the corresponding translation generalized quadrangle T(E) of order (s, s2), s even, has base point (∞) it is proved that if T(E) has a subquadrangle of order s not containing (∞), then T(E) is the classical GQ Q(5, s). Also a new strong characterization of the classical GQ Q(5, s), s even or odd, is obtained. In Part II, the case s odd is considered. © 2004 Elsevier Inc. All rights reserved. |
DOI: | 10.1016/j.jcta.2003.12.006 |
Published version: | http://dx.doi.org/10.1016/j.jcta.2003.12.006 |
Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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