Geometric finiteness and rationality

  title={Geometric finiteness and rationality},
  author={Gadde A. Swarup},
  • Gadde A. Swarup
  • Published 1993
  • Mathematics
  • Abstract We study the concept of ‘rational subgroup’ introduced by S. Gersten and H. Short [Ann. of Math. 134 (1991) 125-158] in the context of geometrically finite hyperbolic groups. We show that if there are no parabolics, a subgroup is rational with respect to any automatic structure if and only if the subgroup is also geometrically finite. Some related questions are also discussed. 

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