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ON GEHRING–MARTIN–TAN GROUPS WITH AN ELLIPTIC GENERATOR
Published online by Cambridge University Press: 12 May 2016
Abstract
The Gehring–Martin–Tan inequality for two-generator subgroups of $\text{PSL}(2,\mathbb{C})$ is one of the best known discreteness conditions. A Kleinian group
$G$ is called a Gehring–Martin–Tan group if the equality holds for the group
$G$. 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.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 94 , Issue 2 , October 2016 , pp. 326 - 336
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
References
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