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A finitely generated discontinuous group of linear fractional transformation acting on a domain in the Complex Plane.
References
Iyanaga, S. and Kawada, Y. (Eds.).  Encyclopedic Dictionary of Mathematics.  Cambridge, MA: MIT Press,
  p. 425, 1980.
 
Kra, I.  Automorphic Forms and Kleinian Groups.  Reading, MA: W. A. Benjamin, 1972.