Geometrical Finiteness for Hyperbolic Groups

  title={Geometrical Finiteness for Hyperbolic Groups},
  author={Brian H. Bowditch},
  journal={Journal of Functional Analysis},
  • B. Bowditch
  • Published 1 May 1993
  • Mathematics
  • Journal of Functional Analysis
Abstract In this paper, we give an account of the notion of geometrical finiteness as applied to discrete groups acting on hyperbolic space of any dimension. We prove the equivalence of various definitions of geometrical finiteness, and describe the geometry of fundamental domains. We give a complete account of when Dirichiet domains are finite-sided. 
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