The elementary divisors of the incidence matrices of points and linear subspaces in \(\mathbb{P}^n(\mathbb{F}_p)\)
type: Item
instance of: scholarly article
title: The elementary divisors of the incidence matrices of points and linear subspaces in \(\mathbb{P}^n(\mathbb{F}_p)\)
zbMATH Open document ID: 0970.51012
published in: Journal of Algebra
publication date: 2001-10-16T00:00:00Z
review text: Der Autor bestimmt in Theorem 1 die Elementarteiler der Inzidenzmatrizen der Punkte über einem endlichen Körper \(\mathbb{F}_p\). Seine Vorgehensweise hierzu besteht im Studium des \(\mathbb{Z} GL(F_p^{n+1})\) Moduls der Cokerne der Inzidenzabbildungen. In Abschnitt 2 wird an \(p\) lokalisiert und es werden \(p\)-modulare Darstellungen untersucht. Mit ihrer Hilfe gelingt in Abschnitt 3 der Beweis von Theorem 1.
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51D25
zbMATH DE Number: 1539376
zbMATH Keywords: divisors
zbMATH Keywords: incidence matrices of points
author: Peter Sin
reviewed by: Helmut Mäurer
MaRDI profile type: Publication
full work available at URL: jabr.2000.8387
OpenAlex ID: W2048805256
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cites work: Representations of Algebraic Groups
DOI: 10.1006/JABR.2000.8387
description: scientific article; zbMATH DE number 1539376