Profinite rigidity properties of central extensions of 2-orbifold groups
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915814294159360 |
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| author | Piwek, Paweł |
| author_facet | Piwek, Paweł |
| contents | We extend Wilkes' results on the profinite rigidity of SFSs to the setting of central extensions of 2-orbifold groups with higher-rank centre. We prove that both rigid and non-rigid phenomena arise in this setting and that the non-rigid phenomena are transient in the sense that if $\widehat{G}_1 \cong \widehat{G}_2$, then $G_1 \times \mathbb{Z} \cong G_2 \times \mathbb{Z}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_01105 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Profinite rigidity properties of central extensions of 2-orbifold groups Piwek, Paweł Group Theory 20E26 We extend Wilkes' results on the profinite rigidity of SFSs to the setting of central extensions of 2-orbifold groups with higher-rank centre. We prove that both rigid and non-rigid phenomena arise in this setting and that the non-rigid phenomena are transient in the sense that if $\widehat{G}_1 \cong \widehat{G}_2$, then $G_1 \times \mathbb{Z} \cong G_2 \times \mathbb{Z}$. |
| title | Profinite rigidity properties of central extensions of 2-orbifold groups |
| topic | Group Theory 20E26 |
| url | https://arxiv.org/abs/2304.01105 |