On the profinite rigidity of triangle groups
- 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.
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- Peer review status:
- Peer reviewed
- Copyright holder:
- Bridson et al.
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- © 2021 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
- This is the accepted manuscript version of the article. The final version is available online from Wiley at: https://doi.org/10.1112/blms.12546
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