Quotients of Dilworth truncations
type: Item
instance of: scholarly article
title: Quotients of Dilworth truncations
zbMATH Open document ID: 0643.05024
DOI: 10.1016/0095-8956(90)90064-7
author: Geoff Whittle
published in: Journal of Combinatorial Theory. Series B
publication date: 1990-01-01T00:00:00Z
review text: Sufficient conditions are given for an elementary quotient of the k-th Dilworth truncation of a matroid M to be the k-th Dilworth truncation of a quotient of M. As special cases, contractions of Dilworth truncations and principal truncations by connected flats of Dilworth truncations are characterised as Dilworth truncations of certain matroids. As an application of the theory it is shown that the degree of the minimal extension field of GF(q) needed to represent the first Dilworth truncation of PG(r-1,q) is greater than 2r-4.
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 4047746
zbMATH Keywords: Dilworth truncation
zbMATH Keywords: quotient of a matroid
MaRDI profile type: Publication
full work available at URL: 0095-8956(90)90064-7
OpenAlex ID: W2017303399
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description: scientific article; zbMATH DE number 4047746