Harmonic Conjugation in Harmonic Matroids
Combinatorics
2022-02-22 v1
Abstract
We study a generalization of the concept of harmonic conjugation from projective geometry and full algebraic matroids to a larger class of matroids called \emph{harmonic matroids}. We use harmonic conjugation to construct a projective plane of prime order in harmonic matroids without using the axioms of projective geometry. As a particular case we have a combinatorial construction of a projective plane of prime order in full algebraic matroids.
Cite
@article{arxiv.2202.09416,
title = {Harmonic Conjugation in Harmonic Matroids},
author = {Rigoberto Florez},
journal= {arXiv preprint arXiv:2202.09416},
year = {2022}
}
Comments
This paper was finished in 2008. It is now published