Gespeichert in:
| 1. Verfasser: | |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2411.07757 |
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Inhaltsangabe:
- For every natural number $n$, there exist finitely presented groups with residual finiteness depths $ω\cdot n$ and $ω\cdot n + 1$. 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.