On Pappus Configurations in Hall Planes

As the finite Hall planes are Non-Desarguesian, the Pappus Theorem does not hold in them. In this paper we state and prove some weaker versions of Pappus's Theorem in Hall planes.

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Bibliographic Details
Main Authors Lazebnik, Felix, Leshock, Lorinda
Format Journal Article
LanguageEnglish
Published 03.04.2022
Subjects
Mathematics - Combinatorics
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Summary:As the finite Hall planes are Non-Desarguesian, the Pappus Theorem does not hold in them. In this paper we state and prove some weaker versions of Pappus's Theorem in Hall planes.
DOI:10.48550/arxiv.2204.01085