Hemisystems of small flock generalized quadrangles

Abstract

In this paper, we describe a complete computer classification of the hemisystems in the two known flock generalized quadrangles of order $(5^2,5)$ and give numerous further examples of hemisystems in all the known flock generalized quadrangles of order $(s^2,s)$ for $s\le 11$. By analysing the computational data, we identify two possible new infinite families of hemisystems in the classical generalized quadrangle $H(3,q^2)$.

slight revisions made following referee's reports, and included raw data

References in corpus (1)

• Every flock generalised quadrangle has a hemisystem

Cited by in corpus (2)

• Uniformity in association schemes and coherent configurations: cometric Q-antipodal schemes and linked systems
• Hemisystems of the Hermitian Surface