On finite generalized quadrangles of even order

2022/06/23 by Feng, Tao
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.11437

Abstract

In this paper, we establish the following two results: (1) a skew translation generalized quadrangle of even order is a translation generalized quadrangle, (2) a generalized quadrangle of even order does not admit a point regular automorphism group. The first result confirms a conjecture of Payne (1975) based on earlier work of Ott (2021), and the second result confirms a conjecture of Ghinelli (1992).

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