Abstract
The bilinear flocks of Cherowitzo are generalized to a large variety of bilinear flocks of the cone \({\mathcal{C}_q}\) . Using these ideas, net replacements of certain Hughes-Kleinfeld planes of order q 4 are obtained that construct every André plane in PG(3, q).
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Cherowitzo, W.E., Johnson, N.L. Net replacements in the Hughes-Kleinfeld semifield planes. J. Geom. 97, 45–57 (2010). https://doi.org/10.1007/s00022-010-0046-y
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DOI: https://doi.org/10.1007/s00022-010-0046-y