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dc.contributor.authorWilton, Henryen
dc.contributor.authorBridson, Men
dc.contributor.authorReid, Aen
dc.date.accessioned2017-07-27T10:30:47Z
dc.date.available2017-07-27T10:30:47Z
dc.identifier.issn0024-6093
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/265747
dc.description.abstractIf $M$ is a compact 3-manifold whose first betti number is 1, and $N$ is a compact 3-manifold such that $π_1N$ and $π_1M$ have the same finite quotients, then $M$ fibres over the circle if and only if $N$ does. We prove that groups of the form $F_2$ $\rtimes$ $\Bbb Z$ are distinguished from one another by their profinite completions. Thus, regardless of betti number, if $M$ and $N$ are punctured-torus bundles over the circle and $M$ is not homeomorphic to $N$, then there is a finite group $G$ such that one of $π_1M$ and $π_1N$ maps onto $G$ and the other does not.
dc.description.sponsorshipThe first author was supported in part by grants from the EPSRC and a Royal Society Wolfson Merit Award. The second author was supported in part by an NSF grant and The Wolfensohn Fund. He would also like to thank the Institute for Advanced Study for its hospitality whilst this work was completed. The third author was supported by a grant from the EPSRC.
dc.language.isoenen
dc.publisherWiley
dc.titleProfinite rigidity and surface bundles over the circleen
dc.typeArticle
prism.publicationNameBulletin of the London Mathematical Societyen
dc.identifier.doi10.17863/CAM.11516
dcterms.dateAccepted2017-07-04en
rioxxterms.versionofrecord10.1112/blms.12076en
rioxxterms.versionAMen
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2017-07-04en
dc.contributor.orcidWilton, Henry [0000-0001-6369-9478]
dc.identifier.eissn1469-2120
dc.publisher.urlhttp://dx.doi.org/10.1112/blms.12076en
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/L026481/1)
cam.issuedOnline2017-08-02en


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