Fractional distortion in hyperbolic groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911016934178816 |
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| author | Dani, Pallavi Riley, Timothy |
| author_facet | Dani, Pallavi Riley, Timothy |
| contents | For all integers $p>q>0$ and $k >0$, and all non-elementary torsion-free hyperbolic groups $H$, we construct a hyperbolic group $G$ in which $H$ is a subgroup, such that the distortion function of $H$ in $G$ grows like $\exp^k(n^{p/q})$. Here, $\exp^k$ denotes the $k$-fold-iterated exponential function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08645 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fractional distortion in hyperbolic groups Dani, Pallavi Riley, Timothy Group Theory 20F65, 20F67 For all integers $p>q>0$ and $k >0$, and all non-elementary torsion-free hyperbolic groups $H$, we construct a hyperbolic group $G$ in which $H$ is a subgroup, such that the distortion function of $H$ in $G$ grows like $\exp^k(n^{p/q})$. Here, $\exp^k$ denotes the $k$-fold-iterated exponential function. |
| title | Fractional distortion in hyperbolic groups |
| topic | Group Theory 20F65, 20F67 |
| url | https://arxiv.org/abs/2403.08645 |