İlker Yüce

activity

20092023

most citedTwo-Generator Free Kleinian Groups and Hyperbolic Displacements

3 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.GT2023

Isometries of length $1$ 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 $_{2} (C)$ . In particular, we show that for a given finitely generate…

math.GT2016★ 2 cited

Jorgensen's Inequality and Purely Loxodromic 2-Generator Free Kleinian Groups

İlker S. Yüce

Let $ξ$ and $η$ be two non--commuting isometries of the hyperbolic $3$ --space $H^{3}$ so that $Γ = ⟨ ξ, η ⟩$ is a purely loxodromic free Kleinian group. For $γ \in Γ$ a…

math.GT2015★ 1 cited

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 $0.5 lo g (12 \cdot 3^{k - 1} - 3)$ by one of the isometries of length at…

math.GT2009★ 3 cited

Two-Generator Free Kleinian Groups and Hyperbolic Displacements

İlker S. Yüce

The $lo g 3$ Theorem, proved by Culler and Shalen, states that every point in the hyperbolic 3-space is moved a distance at least $lo g 3$ by one of the non-commuting isometries $ξ…

Isometries of length 1 in purely loxodromic free Kleinian groups and trace inequalities

Jorgensen's Inequality and Purely Loxodromic 2-Generator Free Kleinian Groups

Symmetric Decompositions of Free Kleinian Groups and Hyperbolic Displacements

Two-Generator Free Kleinian Groups and Hyperbolic Displacements

Isometries of length $1$ in purely loxodromic free Kleinian groups and trace inequalities