The centre of a finitely generated strongly verbally closed group is almost always pure
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911999736152064 |
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| author | Denissov, Filipp D. Klyachko, Anton A. |
| author_facet | Denissov, Filipp D. Klyachko, Anton A. |
| contents | The assertion in the title implies that many interesting groups (e.g., all non-abelian braid groups or ${\bf SL}_{100}(\mathbb Z)$) are not strongly verbally closed, i.e., they embed into some finitely generated groups as verbally closed subgroups, which are not retracts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_06837 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The centre of a finitely generated strongly verbally closed group is almost always pure Denissov, Filipp D. Klyachko, Anton A. Group Theory The assertion in the title implies that many interesting groups (e.g., all non-abelian braid groups or ${\bf SL}_{100}(\mathbb Z)$) are not strongly verbally closed, i.e., they embed into some finitely generated groups as verbally closed subgroups, which are not retracts. |
| title | The centre of a finitely generated strongly verbally closed group is almost always pure |
| topic | Group Theory |
| url | https://arxiv.org/abs/2308.06837 |