Modular elements of higher-weight Dowling lattices
type: Item
instance of: scholarly article
title: Modular elements of higher-weight Dowling lattices
zbMATH Open document ID: 0808.06012
DOI: 10.1016/0012-365X(93)90113-8
author: Joseph E. Bonin
published in: Discrete Mathematics
publication date: 1995-03-12T00:00:00Z
review text: The subspaces of a finite \(n\)-dimensional vector space having a base consisting of vectors with at most \(k\) coordinates form a rank \(n\) geometric lattice, a higher-weight Dowling lattice \(L_ k\). The author characterizes modular elements in such lattices and uses that to factorize the characteristic polynomials of \(L_{n-1}\) and \(L_{n-2}\).
Mathematics Subject Classification ID: 06C10
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 444637
zbMATH Keywords: subspaces of a finite \(n\)-dimensional vector space
zbMATH Keywords: rank \(n\) geometric lattice
zbMATH Keywords: higher-weight Dowling lattice
zbMATH Keywords: modular elements
zbMATH Keywords: characteristic polynomials
reviewed by: Christian Herrmann
MaRDI profile type: Publication
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full work available at URL: 0012-365x(93)90113-8
OpenAlex ID: W2062070396
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description: scientific article; zbMATH DE number 444637