On finite generalized quadrangles with PSL(2,q) as an automorphism group

2022/06/14 by Feng, Tao, Lu, Jianbing
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.06626

Abstract

Let S be a finite thick generalized quadrangle, and suppose that G is an automorphism group of S. If G acts primitively on both the points and lines of S, then it is known that G must be almost simple. In this paper, we show that if the socle of G is PSL(2,q) with q≥4, then q=9 and S is the unique generalized quadrangle of order 2.

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