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Pappus configurations in the Hall plane

Year: 2026
Type: preprint
Abstract: In this paper, we investigate Pappus configurations in the finite affine Hall plane. In particular, we show that for any two lines $\ell_1,\ell_2$ and for any triple of points on $\ell_1$ there is a triple of points on $\ell_2$ that are contained in a Pappus configuration, thus improving on the results of [F. Lazebnik and L. Leshock. On Pappus configurations in Hall planes. Des. Codes Cryptogr. 90 (2022), 1203--1219.].
Language: English
Open Access status: green
OpenAlex ID: W7223217917
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