A classification of the extensions of degree p^2 over Q_p whose normal closure is a p-extension
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CAPUTO, Luca | |
| dc.date.accessioned | 2024-04-04T02:54:14Z | |
| dc.date.available | 2024-04-04T02:54:14Z | |
| dc.date.created | 2006 | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 2118-8572 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192258 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Société Arithmétique de Bordeaux | |
| dc.subject | p-adic extensions | |
| dc.subject | ramification groups | |
| dc.subject | discriminant | |
| dc.title.en | A classification of the extensions of degree p^2 over Q_p whose normal closure is a p-extension | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Journal de Théorie des Nombres de Bordeaux | |
| bordeaux.page | 337 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00268079 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00268079v1 | |
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