2022/05/30 by Thas, Joseph A. · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2205.15260
In the period 1994-1999 Thas wrote a series of three papers on generalized quadrangles of order (s, s2). In this Part IV we classify all finite translation generalized quadrangles of order (s, s2) having a kernel of size at least 3, containing a regular line not incident with the translation point. There are several applications on generalized quadrangles of order (s, s2) having at least 2 translation points, on Moufang quadrangles, and concerning the theorem of Fong and Seitz classifying all groups with a BN-pair of rank 2.