A classification of the extensions of degree p^2 over Q_p whose normal closure is a p-extension
Idioma
en
Article de revue
Este ítem está publicado en
Journal de Théorie des Nombres de Bordeaux. 2007p. 337
Société Arithmétique de Bordeaux
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave
p-adic extensions
ramification groups
discriminant
Orígen
Importado de HalCentros de investigación