The Steinitz Realization Problem

Sameera Vemulapalli

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arXiv · 2406.08643

The Steinitz Realization Problem

Sameera Vemulapalli

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Abstract

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 $K$.

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Sameera Vemulapalli. 2024-06-12. The Steinitz Realization Problem. https://arxiv.org/abs/2406.08643

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