Published August 2010
| Submitted
Journal Article
Open
Profinite properties of graph manifolds
- Creators
- Wilton, Henry
- Zalesskii, Pavel
Abstract
Let M be a closed, orientable, irreducible, geometrizable 3-manifold. We prove that the profinite topology on the fundamental group of π_1(M) is efficient with respect to the JSJ decomposition of M. We go on to prove that π_1(M) is good, in the sense of Serre, if all the pieces of the JSJ decomposition are. We also prove that if M is a graph manifold then π_1(M) is conjugacy separable.
Additional Information
© 2009 Springer Science+Business Media B.V. Received: 30 November 2008. Accepted: 3 November 2009. Published online: 28 November 2009. Henry Wilton was partially supported by NSF grant number DMS-0906276. Pavel Zalesskii was partially supported by CNPq. The first author would like to thank Cameron Gordon, Emily Hamilton, Alan Reid and Matthew Stover for useful conversations.Attached Files
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Additional details
- Eprint ID
- 19323
- Resolver ID
- CaltechAUTHORS:20100806-142737506
- DMS-0906276
- NSF
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- Created
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2010-08-06Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field