TY - JOUR
AB - 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.
AU - Acciaro, Vincenzo
AU - Klüners, Jürgen
ID - 34901
IS - 3
JF - Journal of Symbolic Computation
KW - Computational Mathematics
KW - Algebra and Number Theory
SN - 0747-7171
TI - Computing Local Artin Maps, and Solvability of Norm Equations
VL - 30
ER -