Abstract
Nearfield models for and the Hughes plane of order , based on the well-known field-theoretic model of , are described. By way of the correspondences between these models, certain unitals, ovals, and a Baer subplane are easily described in the Hughes plane. Moreover, a partition of the Hughes plane into maximal -arcs is presented.
Citation
Ronald D. Baker. Kenneth L. Wantz. "An arc partition of the Hughes plane using a field-theoretic model." Innov. Incidence Geom. 2 83 - 92, 2005. https://doi.org/10.2140/iig.2005.2.83
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