✦ LIBER ✦
Computing Local Artin Maps, and Solvability of Norm Equations
✍ Scribed by Vincenzo Acciaro; Jürgen Klüners
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 315 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
✦ Synopsis
Let L = K(α) be an Abelian extension of degree n of a number field K, given by the minimal polynomial of α over K. We describe an algorithm for computing the local Artin map associated with the extension L/K at a finite or infinite prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from L, assuming that L/K is cyclic.