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Abstrakty
The problem of decomposition of a projective collineation into special harmonic homologies i.e. homologies with fundamental hyperplanes containing the fixed points, is considered. We prove that for every harmonic homology of the n- dimensional projective space there exists J< 3 such that the harmonic homology is a product of j harmonic homologies from the given class.
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Czasopismo
Rocznik
Tom
Strony
123--134
Opis fizyczny
Bibliogr. 6 poz.
Twórcy
autor
- Faculty of Mathematics and Information Science Warsaw University of Technology Pl. Politechniki 1
Bibliografia
- [1] W. Boratyński, Projective collineations as a product of special harmonic homologies, Demonstratio Math. 32 (1999), 823-828.
- [2] F. S. Cater, Products of central collineations, Linear Algebra Appl. 19 (1978), 251-274.
- [3] E. W. Ellers, Projective collineations as a products of homologies, elations and projective reflections, Aequationes Math. 25 (1982), 103-114.
- [4] K. Wilczyński, On generators of the group of projective transformations, Demonstratio Math. 14 (1981), 1053-1075.
- [5] K. Wilczyński, Sur les generateurs du groupe des transformations projectives du plan projectif, Zeszyty Nauk. Geometria 17 (1988), 109-113.
- [6] K. Wilczyński, Collineations in the projective complex space as products of harmonic homologies, Zeszyty Nauk. Geometria 19 (1991), 81-85.
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Bibliografia
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bwmeta1.element.baztech-article-PWA1-0038-0002