Gitik, Rita (1999) Doubles of Groups and Hyperbolic LERF 3-Manifolds. Annals of Mathematics, 150 (3). pp. 775-806. ISSN 0003-486X http://resolver.caltech.edu/CaltechAUTHORS:20111207-085654451
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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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|Deposited By:||Tony Diaz|
|Deposited On:||11 Jan 2012 21:34|
|Last Modified:||26 Dec 2012 14:34|
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