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arXiv · 1012.0096

Isomorphisms of Algebraic Number Fields

Mark van Hoeij·Vivek Pal
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Abstract

Let $\mathbb{Q}(\alpha)$ and $\mathbb{Q}(\beta)$ be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, $\mathbb{Q}(\beta) \rightarrow \mathbb{Q}(\alpha)$. The algorithm is particularly efficient if the number of isomorphisms is one.

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Mark van Hoeij, Vivek Pal. 2010-12-01. Isomorphisms of Algebraic Number Fields. https://arxiv.org/abs/1012.0096

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