Every group is the automorphism group of a rank-3 matroid
type: Item
instance of: scholarly article
title: Every group is the automorphism group of a rank-3 matroid
zbMATH Open document ID: 0808.05029
DOI: 10.1007/BF01267866
author: Joseph E. Bonin
author: Joseph P. S. Kung
published in: Geometriae Dedicata
publication date: 1994-11-07T00:00:00Z
review text: The theorem in the title is shown, using Dowling geometries (essentialy coding the multiplication table of the group by collinear triples).
reviewed by: András Recski
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 20B25
Mathematics Subject Classification ID: 20B27
zbMATH DE Number: 663723
zbMATH Keywords: automorphism group
zbMATH Keywords: matroid
zbMATH Keywords: Dowling geometries
MaRDI profile type: Publication
cites work: The geometry of Dowling lattices
cites work: Automorphisms of Dowling Lattices and Related Geometries
cites work: Modular Constructions for Combinatorial Geometries
cites work: A class of geometric lattices based on finite groups
cites work: Q5771659
cites work: Graphs of Degree Three with a Given Abstract Group
cites work: On the automorphism group of a matroid
cites work: Every group is the collineation group of some projective plane
cites work: Q4083437
full work available at URL: https://doi.org/10.1007/bf01267866
OpenAlex ID: W2015360935
description: scientific article; zbMATH DE number 663723