Discrete Quasiconformal Groups I

@article{Gehring1987DiscreteQG,
  title={Discrete Quasiconformal Groups I},
  author={F. Gehring and G. Martin},
  journal={Proceedings of The London Mathematical Society},
  year={1987},
  pages={331-358}
}
In this short paper, we introduce a geometry of discrete quasiconformal groups. This subject has been studied by several mathematicians, name them few, P. Tukia, G. Martin, F. Gehring, D. Sullivan. This is an application of the quasiconformal mappings. For n ≥ 2, we let R denote euclidean n−space, Rn its one point compactification R ∪ {∞} and e1, · · · , en the standard orthonormal basis for R. A Möbius transformation acting on Rn is a finite composition of reflections in spheres and… Expand

References

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Discrete Quasiconformal Groups I
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On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions