Subquadrangles of order s of generalized quadrangles of order (s,s2), Part I

M.R. Brown, J.A. Thas
2004 Journal of combinatorial theory. Series A  
In this paper, subquadrangles of order s of generalized quadrangles (GQs) of order ðs; s 2 Þ are investigated. In the case where S is a dual flock GQ of order ðs; s 2 Þ; 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 TðEÞ of order ðs; s 2 Þ; s even, has base point ðNÞ it is proved that if TðEÞ has a subquadrangle of order s not containing ðNÞ; then TðEÞ is the
more » ... l GQ Qð5; sÞ: Also a new strong characterization of the classical GQ Qð5; sÞ; s even or odd, is obtained. In Part II, the case s odd is considered. r
doi:10.1016/j.jcta.2003.12.006 fatcat:r7g6d5ahqzcbpfurrchbthvzbe