All discrete RP groups with non-$\pi$-loxodromic generators
群论
2007-05-23 v4
摘要
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--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.
引用
@article{arxiv.math/0301346,
title = {All discrete RP groups with non-$\pi$-loxodromic generators},
author = {E. Klimenko and N. Kopteva},
journal= {arXiv preprint arXiv:math/0301346},
year = {2007}
}
备注
43 pages, 26 figures; minor changes; Table 2 is corrected