8 citations · 13 across the 6 of their papers we have counts for
6 papers
Word maps in Kac-Moody setting
Elena Klimenko, Boris Kunyavskii, Jun Morita +1
The paper is a short survey of recent developments in the area of word maps evaluated on groups and algebras. It is aimed to pose questions relevant to Kac--Moody theory.
Kleinian orbifolds uniformized by RP groups with an elliptic and a hyperbolic generator
Elena Klimenko, Natalia Kopteva
We consider non-elementary Kleinian groups Γ, without invariant plane, generated by an elliptic and a hyperbolic element with their axes lying in one plane. We find presentations a…
Two-generator Kleinian orbifolds
Elena Klimenko, Natalia Kopteva
We give a complete list of orbifolds uniformised by discrete non-elementary two-generator subgroups of PSL(2,C) without invariant plane whose generators and their commutator have r…
A two-dimensional slice through the parameter space of two-generator Kleinian groups
Elena Klimenko, Natalia Kopteva
We describe all real points of the parameter space of two-generator Kleinian groups with a parabolic generator, that is, we describe a certain two-dimensional slice through this sp…
Discrete RP groups with a parabolic generator
E. Klimenko, N. Kopteva
We deal with two-generator subgroups of PSL(2,C) with real traces of both generators and their commutator. We give discreteness criteria for these groups when at least one of the g…
All discrete RP groups with non--loxodromic generators
E. Klimenko, N. Kopteva
In this paper we give necessary and sufficient conditions for discreteness of a group generated by a hyperbolic element and an elliptic one of odd order. This completes the classif…