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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.04839 |
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| _version_ | 1866912877796917248 |
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| author | Kodama, Yuya |
| author_facet | Kodama, Yuya |
| contents | We show that the Baumslag-Solitar group $BS(1,2)$ is undistorted in the Lodha-Moore group $G_0$ using an explicit lower bound for the word length of $G_0$. We also show that Thompson's group $F$ is distorted in $G_0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04839 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distorted and undistorted subgroups of the Lodha-Moore group Kodama, Yuya Group Theory 20F65 We show that the Baumslag-Solitar group $BS(1,2)$ is undistorted in the Lodha-Moore group $G_0$ using an explicit lower bound for the word length of $G_0$. We also show that Thompson's group $F$ is distorted in $G_0$. |
| title | Distorted and undistorted subgroups of the Lodha-Moore group |
| topic | Group Theory 20F65 |
| url | https://arxiv.org/abs/2602.04839 |