Hemisystems of small flock generalized quadrangles |
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| Authors: | John Bamberg Michael Giudici Gordon F. Royle |
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| Affiliation: | 1. The Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia
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| Abstract: | In this paper, we describe a complete computer classification of the hemisystems in the two known flock generalized quadrangles of order (52, 5) and give numerous further examples of hemisystems in all the known flock generalized quadrangles of order (s 2, s) for s ≤ 11. By analysing the computational data, we identify two possible new infinite families of hemisystems in the classical generalized quadrangle H(3, s 2). |
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