On generators of the group of projective collineations (Q2725244)
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scientific article; zbMATH DE number 1619031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On generators of the group of projective collineations |
scientific article; zbMATH DE number 1619031 |
Statements
9 December 2002
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harmonic homology
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projective collineation
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On generators of the group of projective collineations (English)
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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.
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