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Published November 1999 | Published
Journal Article Open

Doubles of Groups and Hyperbolic LERF 3-Manifolds

Gitik, Rita

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.

Additional Information

© 1999 Annals of Mathematics. Received September 30, 1997. Research partially supported by NSF grant DMS 9022140 at MSRI. The author would like to thank her friends for their support.

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August 19, 2023
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