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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.08865 |
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| _version_ | 1866910539358142464 |
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| author | Marques, Sophie Mrema, Elizabeth |
| author_facet | Marques, Sophie Mrema, Elizabeth |
| contents | This paper characterizes the cyclicity property of $2$-power cyclotomic extensions through various means: the structure of the Galois groups, the nature of their subextensions, tower decompositions, and, most importantly, specific conditions on the base field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08865 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | When is a 2-Power Cyclotomic Extension cyclic? Marques, Sophie Mrema, Elizabeth Number Theory This paper characterizes the cyclicity property of $2$-power cyclotomic extensions through various means: the structure of the Galois groups, the nature of their subextensions, tower decompositions, and, most importantly, specific conditions on the base field. |
| title | When is a 2-Power Cyclotomic Extension cyclic? |
| topic | Number Theory |
| url | https://arxiv.org/abs/2308.08865 |