Abstract
In this paper we give k-sets (k>-q+1) of the Hall planes with q-√q nuclei. This shows that the results of BICHARA — KORCHMAROS [1] and WETTL [16] cannot be extended to non-desarguesian planes. We construct some inherited arcs in the Hall planes as well. For example complete (q−1)-arcs of the Hall planes of odd order will be constructed.
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