Isomorphisms of Algebraic Number Fields

2010/12/01 by Mark van Hoeij, van Hoeij, Mark, Vivek Pal +1
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Number Theory (math.NT) #Symbolic Computation (cs.SC) #cs.SC #math.NT

paper · pdf · doi:10.48550/arxiv.1012.0096

16 pages

arxiv created 2010/12/02 · arxiv updated 2010/12/03

Abstract

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 the number of isomorphisms is one.

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