Quasi-isometric embedding from the generalised Thompson's group $T_n$ to $T$
| Autor: | Sheng, Xiaobing |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Tokyo Journal of Mathematics, vol. 45, No. 2, 2022 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3836/tjm/1502179371 |
| Popis: | Brown has defined the generalised Thompson's group $F_n$, $T_n$, where $n$ is an integer at least $2$ and Thompson's groups $F= F_2$ and $T =T_2$ in the 80's. Burillo, Cleary and Stein have found that there is a quasi-isometric embedding from $F_n$ to $F_m$ where $n$ and $m$ are positive integers at least 2. We show that there is a quasi-isometric embedding from $T_n$ to $T_2$ for any $n \geq 2$ and no embeddings from $T_2$ to $T_n$ for $n \geq 3$. |
| Databáze: | arXiv |
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