Superexponential distortion of free groups in virtually special Groups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911121093427200 |
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| author | Goswami, Pratit Verma, Maya |
| author_facet | Goswami, Pratit Verma, Maya |
| contents | For all integers $k, m > 0$, we construct a virtually special group $G$ containing a finite rank free subgroup $F$ whose distortion function in $G$ grows like $\exp^k(x^m)$. We also construct examples of virtually special groups containing finite rank free subgroups whose distortion functions grow bigger than any iterated exponential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Superexponential distortion of free groups in virtually special Groups Goswami, Pratit Verma, Maya Geometric Topology 20F65, 20F67 For all integers $k, m > 0$, we construct a virtually special group $G$ containing a finite rank free subgroup $F$ whose distortion function in $G$ grows like $\exp^k(x^m)$. We also construct examples of virtually special groups containing finite rank free subgroups whose distortion functions grow bigger than any iterated exponential. |
| title | Superexponential distortion of free groups in virtually special Groups |
| topic | Geometric Topology 20F65, 20F67 |
| url | https://arxiv.org/abs/2508.18223 |