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Isomorphisms of algebraic number fields

Mark van Hoeij;  Vivek Pal — 2012

Journal de Théorie des Nombres de Bordeaux

Let ℚ ( α ) and ℚ ( β ) be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, ℚ ( β ) → ℚ ( α ) . The algorithm is particularly efficient if there is only one isomorphism.

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