Gitik, Rita (1999) Doubles of Groups and Hyperbolic LERF 3-Manifolds. Annals of Mathematics, 150 (3). pp. 775-806. ISSN 0003-486X. doi:10.2307/121056. https://resolver.caltech.edu/CaltechAUTHORS:20111207-085654451
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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.
| Item Type: | Article | ||||||||||||
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| 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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| Issue or Number: | 3 | ||||||||||||
| DOI: | 10.2307/121056 | ||||||||||||
| Record Number: | CaltechAUTHORS:20111207-085654451 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111207-085654451 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 28331 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 11 Jan 2012 21:34 | ||||||||||||
| Last Modified: | 09 Nov 2021 16:56 |
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