A note on the discriminant and prime ramification of some real Kummer extensions
Résumé
In this note, we establish some facts about real Kummer extensions of the form L = Q(p √ m 1 ,. .. , p √ mr), and L = K(p √ m 1 ,. .. , p √ mr) where Q(q √ n 1 ,. .. , q √ ns). In particular, we study the splitting of primes in L and exhibit fairly canonical and simple Q-bases of L and d L ∈ N such that the order it generates contains d L O L .
Domaines
Théorie des nombres [math.NT]
Origine : Fichiers produits par l'(les) auteur(s)