On Gehring-Martin-Tan groups with an elliptic generator
Geometric Topology
2016-09-19 v1 Group Theory
Abstract
The Gehring-Martin-Tan inequality for 2-generator subgroups of PSL(2,C) is one of the best known discreteness conditions. A Kleinian group is called a Gehring-Martin-Tan group if the equality holds for the group . We give a method for constructing Gehring-Martin-Tan groups with a generator of order four and present some examples. These groups arise as groups of finite volume hyperbolic 3-orbifolds.
Cite
@article{arxiv.1609.05044,
title = {On Gehring-Martin-Tan groups with an elliptic generator},
author = {Andrei Yu. Vesnin and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1609.05044},
year = {2016}
}