Doubles of groups and hyperbolic LERF 3-manifolds

• Autores: Rita Gitik
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 150, Nº 3, 1999, págs. 775-806
• Idioma: inglés
• DOI: 10.2307/121056
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• Resumen

  • We show that the quasiconvex subgroups in doubles of certain negatively curved groups are closed in the profinite topology. This allows us to construct the first known large family of hyperbolic 3-manifolds such that any finitely generated subgroup of the fundamental group of any member of the family is closed in the profinite topology.