Cyclic splittings of pro-$\mathcal{C}$ groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918150193283072 |
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| author | Berdugo, Jesus Zalesskii, Pavel |
| author_facet | Berdugo, Jesus Zalesskii, Pavel |
| contents | In this paper we proved a pro-$\mathcal{C}$ version of the Rips-Sela Theorems on splittings as an amalgamated free product or HNN-extension over a cyclic subgroup, where $\mathcal{C}$ is a class of finite groups closed for subgroups, quotients, finite direct products and extensions with abelian kernel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03626 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cyclic splittings of pro-$\mathcal{C}$ groups Berdugo, Jesus Zalesskii, Pavel Group Theory Algebraic Geometry In this paper we proved a pro-$\mathcal{C}$ version of the Rips-Sela Theorems on splittings as an amalgamated free product or HNN-extension over a cyclic subgroup, where $\mathcal{C}$ is a class of finite groups closed for subgroups, quotients, finite direct products and extensions with abelian kernel. |
| title | Cyclic splittings of pro-$\mathcal{C}$ groups |
| topic | Group Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2502.03626 |