Réalisation régulière explicite des groupes abéliens finis comme groupes de Galois Original Research Article

It is well known that certain polynomials have an Abelian group as Galois group over rational function fieldsk(t) with characteristic not dividing the order of this group. Moreover, it is possible to realize all Abelian groups overk(t) in the fieldsk((t)). In this paper, we construct and calculate such polynomials.