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On the profinite rigidity of triangle groups

Abstract:
We prove that certain Fuchsian triangle groups are profinitely rigid in the absolute sense, that is, each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. We also develop a method based on character varieties that can be used to distinguish between the profinite completions of certain groups.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1112/blms.12546

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-0080-9059
Publisher:
Wiley Publisher's website
Journal:
Bulletin of the London Mathematical Society Journal website
Volume:
53
Issue:
6
Pages:
1849-1862
Publication date:
2021-09-21
Acceptance date:
2021-05-31
DOI:
EISSN:
1469-2120
ISSN:
0024-6093
Language:
English
Keywords:
Pubs id:
1182082
Local pid:
pubs:1182082
Deposit date:
2021-06-15

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