On Pappus Configurations in Hall Planes

2022/04/03 by Lazebnik, Felix, Leshock, Lorinda
#05B25 #05B30 #12K99 #51A40 #51E15 #51E30 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2204.01085

Abstract

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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