95 citations · 131 across the 24 of their papers we have counts for
4 papers · 1 filter
The Tits alternative for non-spherical Pride groups
Natalia Kopteva, Gerald Williams
Pride groups, or ``groups given by presentations in which each defining relator involves at most two types of generators'', include Coxeter groups, Artin groups, triangles of group…
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…