PreprintarXiv licencearXiv
Pappus configurations in the Hall plane
Abstract
In this paper, we investigate Pappus configurations in the finite affine Hall plane. In particular, we show that for any two lines ℓ1,ℓ2 and for any triple of points on ℓ1 there is a triple of points on ℓ2 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.].
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BibTeX
@misc{lia2026pappus,
title = {{Pappus configurations in the Hall plane}},
author = {Stefano Lia and John Sheekey and Geertrui Van de Voorde},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29080},
eprint = {2610.29080},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29080},
}
RIS
TY - UNPB
TI - Pappus configurations in the Hall plane
AU - Stefano Lia
AU - John Sheekey
AU - Geertrui Van de Voorde
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29080
UR - https://arxiv.org/abs/2610.29080
AB - In this paper, we investigate Pappus configurations in the finite affine Hall plane. In particular, we show that for any two lines ℓ_1,ℓ_2 and for any triple of points on ℓ_1 there is a triple of points on ℓ_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.].
ER -