The Steinitz Realization Problem
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909378748088320 |
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| author | Vemulapalli, Sameera |
| author_facet | Vemulapalli, Sameera |
| contents | Let $K$ be a number field and let $n \in \mathbb{Z}_{>1}$. The Steinitz realization problem asks: does every element of the ideal class group of $K$ occur as the Steinitz class of a degree $n$ extension of $K$? In this article, we give an affirmative answer to the Steinitz realization problem for all $n$ and $K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08643 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Steinitz Realization Problem Vemulapalli, Sameera Number Theory Let $K$ be a number field and let $n \in \mathbb{Z}_{>1}$. The Steinitz realization problem asks: does every element of the ideal class group of $K$ occur as the Steinitz class of a degree $n$ extension of $K$? In this article, we give an affirmative answer to the Steinitz realization problem for all $n$ and $K$. |
| title | The Steinitz Realization Problem |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.08643 |