On projective embeddings of partial planes and rank-three matroids
type: Item
instance of: scholarly article
title: On projective embeddings of partial planes and rank-three matroids
zbMATH Open document ID: 0872.05008
DOI: 10.1016/0012-365X(95)00310-S
published in: Discrete Mathematics
publication date: 1997-10-05T00:00:00Z
review text: Any finite linear space and any simple rank-three matroid can be embedded into a translation plane.
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 17A35
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 51E14
Mathematics Subject Classification ID: 51A35
zbMATH DE Number: 1018617
zbMATH Keywords: projective embeddings
zbMATH Keywords: linear space
zbMATH Keywords: matroid
zbMATH Keywords: translation plane
author: Franz B. Kalhoff
reviewed by: Martin Loebl
MaRDI profile type: Publication
cites work: Projective Planes
cites work: Additive and Multiplicative Loops of Planar Ternary Rings
cites work: Q3227201
cites work: Einbettung von Inzidenzstrukturen in projektive Ebenen mit vorgegebenen Schließungssätzen
cites work: Q4111952
Wikidata QID: Q126437091
Recommended article: Q5691405
Recommended article: Oriented rank three matroids and projective planes
Recommended article: Q4948695
Recommended article: On rank 3 projective planes
Recommended article: The Projective Planarity Question for Matroids of $3$-Nets and Biased Graphs
Recommended article: The variety of triangular embeddings of a graph in the projective plane
Recommended article: Matroids with coefficients over projective planes
Recommended article: On the structure of 3-nets embedded in a projective plane
Recommended article: Polyhedral embeddings in the projective plane
Recommended article: Q3779336
description: scientific article; zbMATH DE number 1018617