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Doubles of Groups and Hyperbolic LERF 3-Manifolds

Rita Gitik
Annals of Mathematics
Second Series, Vol. 150, No. 3 (Nov., 1999), pp. 775-806
Published by: Annals of Mathematics
DOI: 10.2307/121056
Stable URL: http://www.jstor.org/stable/121056
Page Count: 32
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Doubles of Groups and Hyperbolic LERF 3-Manifolds
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Abstract

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.

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