A classification of the extensions of degree p^2 over Q_p whose normal closure is a p-extension
Language
en
Article de revue
This item was published in
Journal de Théorie des Nombres de Bordeaux. 2007p. 337
Société Arithmétique de Bordeaux
English Abstract
Let k be a finite extension of Q_p and E_k be the set of the extensions of degree p^2 over k whose normal closure is a p-extension. For a fixed discriminant, we show how many extensions there are in E_{Q_p} with such ...Read more >
Let k be a finite extension of Q_p and E_k be the set of the extensions of degree p^2 over k whose normal closure is a p-extension. For a fixed discriminant, we show how many extensions there are in E_{Q_p} with such discriminant and we give the discriminant and the Galois group (together with its filtration of the ramification groups) of their normal closure. We show how this method can be generalized to get a classification of the extensions in E_k.Read less <
Keywords
p-adic extensions
ramification groups
discriminant
Origin
Hal imported