On the automorphism group of a matroid
โ Scribed by F. Harary; M.J. Piff; D.J.A. Welsh
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 983 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
8% show that for my group If (Bnhc of infhitee) there exists an indepmdence structure with autans~~qMsm gruep i.wmcwphic ts ff. The pmof is by construction and shows that 5 1 Introduction
We show &at for any graup N f'finite CH infinite) there exists an independence structure with autamorphism group isomorphk to W. The proof is by csnstruction and shows that for any H thwe is a geometric lattice with .Momwph.ism group iwmorphic to H.
An independence ~PW&V on a set S is a family 1 af subsets of S
The proof is verv simifar to that. of Thearem 4 .mt will be omitted.
๐ SIMILAR VOLUMES
A simple way of as,;ociating a matroid of prescribed rank with a graph is shown. The matroids so corhstrueted are re.presentable over any sufficiently large field. Their ase is demonstrated by the fallowing result: Given an integer k >~ 3 and a hmction G associating a group with each subsel of a set