The Maximality of $T$ in Thompson's group $V$
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913798906970112 |
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| author | Belk, James Bleak, Collin Quick, Martyn Skipper, Rachel |
| author_facet | Belk, James Bleak, Collin Quick, Martyn Skipper, Rachel |
| contents | We show that R. Thompson's group $T$ is a maximal subgroup of the group $V$. The argument provides examples of foundational calculations which arise when expressing elements of $V$ as products of transpositions of basic clopen sets in Cantor space $\mathfrak{C}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Maximality of $T$ in Thompson's group $V$ Belk, James Bleak, Collin Quick, Martyn Skipper, Rachel Group Theory 20E28 20E32 20F65 20F05 We show that R. Thompson's group $T$ is a maximal subgroup of the group $V$. The argument provides examples of foundational calculations which arise when expressing elements of $V$ as products of transpositions of basic clopen sets in Cantor space $\mathfrak{C}$. |
| title | The Maximality of $T$ in Thompson's group $V$ |
| topic | Group Theory 20E28 20E32 20F65 20F05 |
| url | https://arxiv.org/abs/2409.12621 |