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On Gehring-Martin-Tan groups with an elliptic generator by Vesnin, Andrei Yu.; Repovš, Dušan D. is a scholarly article available to read on EtoBox.

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The Gehring-Martin-Tan inequality for 2-generator subgroups of PSL(2,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.

Author

Vesnin, Andrei Yu.; Repovš, Dušan D.

Published

2016

Language

EN