paper

Minimal non-orientable matroids in a projective plane

arXiv:2202.09621

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 , find a minimal non-orientable submatroid of the projective plane over the -element field.

This paper was published in 2007