Word maps in Kac-Moody setting
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.
math.GR↗
arXiv subjects
Elena Klimenko
Publications and source records attributed to Elena Klimenko.
Kleinian orbifolds uniformized by RP groups with an elliptic and a hyperbolic generator
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 and a complete list of orbifolds uniformized by such Γ.
math.GT↗
Two-generator Kleinian orbifolds
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 real traces.
math.GT↗
A two-dimensional slice through the parameter space of two-generator Kleinian groups
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 space. In order to do this we gather together known discreteness criteria for two-generator groups and present them in the form of conditions on parameters. We complete the description by giving discreteness criteria for groups generated by a parabolic and a $π$-loxodromic elements whose commutator has real trace and present all orbifolds uniformized by such groups.
math.GR↗