Isomorphisms of Algebraic Number Fields

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, $\mathbb{Q}(\beta )\to \mathbb{Q}(\alpha )$. The algorithm is particularly efficient if the number of isomorphisms is one.

16 pages