Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 1996 / Cilt: 45 - Sayı: 1-2
On a Laguerre inversion
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 61–66
- DOI
- —
Abstract
The existence of some automorphisms on certain Laguerre plane L is used to determine the algebraic structure of the projective plane, which is a completion of the affine plane $L_A$ derived at a known point A. In this paper, firstly a special Laguerre automorphism, that is a Laguerre inversion, is defined; and then the set of fixed points and the set of fixed circles of the Laguerre inversion are investigated.