Minimal non-orientable matroids in a projective plane

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

• Type: Journal
• Year: 2007
• Where: JCT
• Authors: Rigoberto Flórez, David Forge
• Keywords: Desarguesian Projective Planes, JCT 2007, Minimal Non-orientable Matroids, Projective Plane