On generators of the group of projective collineations

• Autorzy: Boratyński W.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

harmonic homology; projective collineations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 1
• Strony: 123--134
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Boratyński W.

• 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.