Residually rationally solvable one-relator groups
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918143824232448 |
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| author | Linton, Marco |
| author_facet | Linton, Marco |
| contents | We show that the intersection of the rational derived series of a one-relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one-relator group is residually rationally solvable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09272 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Residually rationally solvable one-relator groups Linton, Marco Group Theory 20E26, 20F14 (Primary), 20F05 (Secondary) We show that the intersection of the rational derived series of a one-relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one-relator group is residually rationally solvable. |
| title | Residually rationally solvable one-relator groups |
| topic | Group Theory 20E26, 20F14 (Primary), 20F05 (Secondary) |
| url | https://arxiv.org/abs/2407.09272 |