Journal article
Ordinals arising as residual finiteness depths
- Abstract:
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For every natural number n, there exist finitely presented groups with residual finiteness depths ω⋅n and ω⋅n+1. The ordinals that arise as the residual finiteness depth of a finitely generated group (equivalently, a countable group) are 0, 1, the countable limit ordinals, and the successors of these limit ordinals.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 435.4KB, Terms of use)
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- Publisher copy:
- 10.4171/rmi/1569
Authors
- Publisher:
- EMS Press
- Journal:
- Revista Matemática Iberoamericana More from this journal
- Volume:
- 42
- Issue:
- 2
- Pages:
- 633–646
- Publication date:
- 2025-06-18
- Acceptance date:
- 2025-05-27
- DOI:
- EISSN:
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2235-0616
- ISSN:
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0213-2230
- Language:
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English
- Keywords:
- Pubs id:
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2127245
- Local pid:
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pubs:2127245
- Deposit date:
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2025-05-30
- ARK identifier:
Terms of use
- Copyright holder:
- Real Sociedad Matemática Española
- Copyright date:
- 2025
- Rights statement:
- ©2025 Real Sociedad Matemática Española. Published by EMS Press and licensed under a CC BY 4.0 license
- Licence:
- CC Attribution (CC BY)
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