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Isometries of length in purely loxodromic free Kleinian groups and trace inequalities
A. Nedim Narman, İlker S. Yüce
In this paper, we prove a generalization of a discreteness criteria for a large class of subgroups of PSL. In particular, we show that for a given finitely generate…
Jorgensen's Inequality and Purely Loxodromic 2-Generator Free Kleinian Groups
İlker S. Yüce
Let and be two non--commuting isometries of the hyperbolic --space so that is a purely loxodromic free Kleinian group. For a…
Symmetric Decompositions of Free Kleinian Groups and Hyperbolic Displacements
İlker S. Yüce
In this paper, it is shown that every point in the hyperbolic 3-space is moved at a distance at least by one of the isometries of length at…
Two-Generator Free Kleinian Groups and Hyperbolic Displacements
İlker S. Yüce
The Theorem, proved by Culler and Shalen, states that every point in the hyperbolic 3-space is moved a distance at least by one of the non-commuting isometries $ξ…