Hemisystems of small flock generalized quadrangles

Details Hemisystems of small flock generalized quadrangles Hemisystems of small flock generalized quadrangles

2010-12-17

arxiv.org/abs/1012.3819v3

Mathematics

Combinatorics

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

Scientific paper

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 $H(3,q^2)$.

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