English

Minimal non-orientable matroids in a projective plane

Combinatorics 2022-02-22 v1

Abstract

We construct a new family of minimal non-orientable matroids of rank three. Some of these matroids embed in Desarguesian projective planes. This answers a question of Ziegler: for every prime power qq, find a minimal non-orientable submatroid of the projective plane over the qq-element field.

Keywords

Cite

@article{arxiv.2202.09621,
  title  = {Minimal non-orientable matroids in a projective plane},
  author = {Rigoberto Florez and David Forge},
  journal= {arXiv preprint arXiv:2202.09621},
  year   = {2022}
}

Comments

This paper was published in 2007

R2 v1 2026-06-24T09:45:54.184Z