Name
Abstract | ||
|---|---|---|
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 with a parabolic generator 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 pi-loxodromic elements whose commutator has real trace and present all orbifolds uniformized by such groups. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1142/S0218196718400076 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
Kleinian groups, discrete groups, hyperbolic orbifolds | Kleinian group,Fuchsian group,Algebra,Group theory,Parameter space,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
28 | 8 | 0218-1967 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Elena Klimenko | 1 | 1 | 0.96 |
| Natalia Kopteva | 2 | 130 | 22.08 |