Published August 2010 | Version Submitted
Journal Article Open

Profinite properties of graph manifolds

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.

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Additional details

Identifiers

Eprint ID
19323
Resolver ID
CaltechAUTHORS:20100806-142737506

Related works

Funding

NSF
DMS-0906276
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Dates

Created
2010-08-06
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Updated
2021-11-08
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