Some nonabelian subgroups of the Nottingham group over F_4
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915506991136768 |
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| author | Keating, Kevin |
| author_facet | Keating, Kevin |
| contents | We classify the conjugacy classes of minimally ramified nonabelian subgroups of order 8 in the Nottingham group $N(F_4)$. We then use finite automata to give explicit descriptions of representatives for each of these conjugacy classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some nonabelian subgroups of the Nottingham group over F_4 Keating, Kevin Number Theory Group Theory 11B85 (Primary) 11S15, 20E18, 20E45, 20F10 (Secondary) We classify the conjugacy classes of minimally ramified nonabelian subgroups of order 8 in the Nottingham group $N(F_4)$. We then use finite automata to give explicit descriptions of representatives for each of these conjugacy classes. |
| title | Some nonabelian subgroups of the Nottingham group over F_4 |
| topic | Number Theory Group Theory 11B85 (Primary) 11S15, 20E18, 20E45, 20F10 (Secondary) |
| url | https://arxiv.org/abs/2509.18300 |