Non-Abelian extensions of degree $p^3$ and $p^4$ in characteristic $p>2$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916146222989312 |
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| author | Moles, Grant |
| author_facet | Moles, Grant |
| contents | This paper describes in terms of Artin-Schreier equations field extensions whose Galois group is isomorphic to any of the four non-cyclic groups of order $p^3$ or the ten non-Abelian groups of order $p^4$, $p$ an odd prime, over a field of characteristic $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02442 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Abelian extensions of degree $p^3$ and $p^4$ in characteristic $p>2$ Moles, Grant Number Theory 11S20 This paper describes in terms of Artin-Schreier equations field extensions whose Galois group is isomorphic to any of the four non-cyclic groups of order $p^3$ or the ten non-Abelian groups of order $p^4$, $p$ an odd prime, over a field of characteristic $p$. |
| title | Non-Abelian extensions of degree $p^3$ and $p^4$ in characteristic $p>2$ |
| topic | Number Theory 11S20 |
| url | https://arxiv.org/abs/2403.02442 |