Journal article
Profinite rigidity and surface bundles over the circle
- Abstract:
- If M is a compact 3-manifold whose first betti number is 1, and N is a compact 3-manifold such that π1N and π1M have the same finite quotients, then M fibres over the circle if and only if N does. We prove that groups of the form F2⋊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 π1M maps onto G and π1N does not.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 316.9KB, Terms of use)
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- Publisher copy:
- 10.1112/blms.12076
Authors
- Publisher:
- London Mathematical Society
- Journal:
- Bulletin of the London Mathematical Society More from this journal
- Volume:
- 49
- Issue:
- 5
- Pages:
- 831-841
- Publication date:
- 2017-08-02
- Acceptance date:
- 2017-07-04
- DOI:
- EISSN:
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1469-2120
- ISSN:
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0024-6093
- Language:
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English
- Pubs id:
-
pubs:653442
- UUID:
-
uuid:c31997a4-116a-43fb-99bd-784379c1f988
- Local pid:
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pubs:653442
- Source identifiers:
-
653442
- Deposit date:
-
2017-01-06
Terms of use
- Copyright holder:
- London Mathematical Society
- Copyright date:
- 2017
- Rights statement:
- © 2017 London Mathematical Society
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from London Mathematical Society at https://dx.doi.org/10.1112/blms.12076
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