The conjugacy problem in Out(Fm) when the polynomial restrictions are non-growing
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866918468597579776 |
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| author | Bartlett, Gabriel |
| author_facet | Bartlett, Gabriel |
| contents | We prove that the conjugacy problem in Out(Fm) is solvable for the class of outer automorphisms whose restrictions to their polynomial subgroups are of finite order. To do this, we first investigate the structure of suspensions of free groups by automorphisms whose outer class is of finite order. We then apply a reduction of our main result to certain problems on groups of this form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13050 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The conjugacy problem in Out(Fm) when the polynomial restrictions are non-growing Bartlett, Gabriel Group Theory We prove that the conjugacy problem in Out(Fm) is solvable for the class of outer automorphisms whose restrictions to their polynomial subgroups are of finite order. To do this, we first investigate the structure of suspensions of free groups by automorphisms whose outer class is of finite order. We then apply a reduction of our main result to certain problems on groups of this form. |
| title | The conjugacy problem in Out(Fm) when the polynomial restrictions are non-growing |
| topic | Group Theory |
| url | https://arxiv.org/abs/2507.13050 |