On generators of the group of projective collineations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1001.51010
author: Wojciech Boratyński
publication date: 2002-12-09T00:00:00Z
Mathematics Subject Classification ID: 51N15
zbMATH DE Number: 1619031
zbMATH Keywords: harmonic homology
zbMATH Keywords: projective collineation
MaRDI profile type: Publication
title: On generators of the group of projective collineations
published in: Demonstratio Mathematica
review text: The author shows: Every harmonic homology of the \(n\)-dimensional real or complex projective space is a product of \(j\leq 3\) harmonic homologies with fundamental hyperplanes containing one of two given points of the space. It is shown that in the case of \(n=2\) in some cases \(j=3\) factors are necessary. With results of \textit{K. Witczynski} [Demonstr. Math. 14, 1053-1075 (1981; Zbl 0512.51020)] upper bounds for the decomposition of projective collineations of the space into product of harmonic homologies follow.
reviewed by: Herbert Hotje
description: scientific article; zbMATH DE number 1619031