Abstract
An infinite family of q-clans, called the Subiaco q-clans, is constructed for q=2e. Associated with these q-clans are flocks of quadratic cones, elation generalized quadrangles of order (q 2, q), ovals of PG(2, q) and translation planes of order q 2 with kernel GF(q). It is also shown that a q-clan, for q=2e, is equivalent to a certain configuration of q+1 ovals of PG(2, q), called a herd.
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W. Cherowitzo gratefully acknowledges the support of the Australian Research Council and has the deepest gratitude and warmest regards for the Combinatorial Computing Research Group at the University of Western Australia for their congenial hospitality and moral support. I. Pinneri gratefully acknowledges the support of a University of Western Australia Research Scholarship.
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Cherowitzo, W., Penttila, T., Pinneri, I. et al. Flocks and ovals. Geom Dedicata 60, 17–37 (1996). https://doi.org/10.1007/BF00150865
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DOI: https://doi.org/10.1007/BF00150865