A hyperbolic free-by-cyclic group determined by its finite quotients
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918114822717440 |
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| author | Andrew, Naomi Hillen, Paige Lyman, Robert Alonzo Pfaff, Catherine Eva |
| author_facet | Andrew, Naomi Hillen, Paige Lyman, Robert Alonzo Pfaff, Catherine Eva |
| contents | We show that the group $\langle a,b,c,t : a^t=b,b^t=c,c^t=ca^{-1} \rangle$ is profinitely rigid amongst free-by-cyclic groups, providing the first example of a hyperbolic free-by-cyclic group with this property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17817 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A hyperbolic free-by-cyclic group determined by its finite quotients Andrew, Naomi Hillen, Paige Lyman, Robert Alonzo Pfaff, Catherine Eva Group Theory 20E26 (primary) 20E05, 20E36, 20F65 (secondary) We show that the group $\langle a,b,c,t : a^t=b,b^t=c,c^t=ca^{-1} \rangle$ is profinitely rigid amongst free-by-cyclic groups, providing the first example of a hyperbolic free-by-cyclic group with this property. |
| title | A hyperbolic free-by-cyclic group determined by its finite quotients |
| topic | Group Theory 20E26 (primary) 20E05, 20E36, 20F65 (secondary) |
| url | https://arxiv.org/abs/2410.17817 |