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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.09195 |
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| _version_ | 1866913500132016128 |
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| author | Burillo, José Felipe, Marc |
| author_facet | Burillo, José Felipe, Marc |
| contents | In this paper it is proved that the group $F\left(\frac32\right)$, a Thompson-style group with breaks in $\mathbb{Z}\left[\frac16\right]$ but whose slopes are restricted only to powers of $\frac32$, is finitely generated, with a generating set of two elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09195 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite generation for the group $F\left(\frac32\right)$ Burillo, José Felipe, Marc Group Theory 20F65 In this paper it is proved that the group $F\left(\frac32\right)$, a Thompson-style group with breaks in $\mathbb{Z}\left[\frac16\right]$ but whose slopes are restricted only to powers of $\frac32$, is finitely generated, with a generating set of two elements. |
| title | Finite generation for the group $F\left(\frac32\right)$ |
| topic | Group Theory 20F65 |
| url | https://arxiv.org/abs/2409.09195 |