On Gehring-Martin-Tan groups with an elliptic generator
  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. 
Andrei Yu. Vesnin and Du\v{s}an D. Repov\v{s}
math.GT math.GR