All discrete RP groups with non-$π$-loxodromic generators
| dc.creator | Klimenko, E. | |
| dc.creator | Kopteva, N. | |
| dc.date | 2003-01-29 | |
| dc.date | 2005-08-17 | |
| dc.date.accessioned | 2026-07-07T04:54:46Z | |
| dc.date.available | 2026-07-07T04:54:46Z | |
| dc.description | 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 classification of discrete groups with non-$π$-loxodromic generators in the class of two-generator groups with real parameters. The criterion is given also as a list of all parameters that correspond to discrete groups. An interesting corollary of the result is that the group of the minimal known volume hyperbolic orbifold has real parameters. | |
| dc.description | 43 pages, 26 figures; minor changes; Table 2 is corrected | |
| dc.identifier | https://arxiv.org/abs/math/0301346 | |
| dc.identifier | http://arxiv.org/abs/math/0301346 | |
| dc.identifier | Int. J. Algebra Comput., 15 (2005), no. 3, 577-618 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66385 | |
| dc.subject | Group Theory | |
| dc.subject | 30F40; 57S30; 20H10 | |
| dc.title | All discrete RP groups with non-$π$-loxodromic generators | |
| dc.type | text |