English

On Pappus Configurations in Hall Planes

Combinatorics 2022-04-05 v1

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.

Cite

@article{arxiv.2204.01085,
  title  = {On Pappus Configurations in Hall Planes},
  author = {Felix Lazebnik and Lorinda Leshock},
  journal= {arXiv preprint arXiv:2204.01085},
  year   = {2022}
}

Comments

25 pages, 2 figures

R2 v1 2026-06-24T10:36:06.115Z