Journal article
Undecidability and the developability of permutoids and rigid pseudogroups
- Abstract:
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A permutoid is a set of partial permutations that contains the identity and is such that partial compositions, when defined, have at most one extension in the set. In 2004 Peter Cameron conjectured that there can exist no algorithm that determines whether or not a permutoid based on a finite set can be completed to a finite permutation group. In this note we prove Cameron’s conjecture by relating it to our recent work on the profinite triviality problem for finitely presented groups. We also ...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Version of record, pdf, 272.7KB)
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- Publisher copy:
- 10.1017/fms.2017.6
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Authors
Funding
+ Engineering and Physical Sciences Research Council
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Funding agency for:
Bridson, MR
Engineering and Physical Sciences Research Council
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Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Forum of Mathematics, Sigma Journal website
- Volume:
- 5
- Pages:
- e10
- Publication date:
- 2017-03-20
- Acceptance date:
- 2017-01-10
- DOI:
- EISSN:
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2050-5094
- Source identifiers:
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465589
Item Description
- Language:
- English
- Keywords:
- Pubs id:
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pubs:465589
- UUID:
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uuid:14c915b6-b970-49e5-8e11-f1681045c378
- Local pid:
- pubs:465589
- Deposit date:
- 2016-10-20
Terms of use
- Copyright holder:
- Bridson and Martin
- Copyright date:
- 2017
- Rights statement:
- © The Authors 2017. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited
- Licence:
- CC Attribution (CC BY)
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