ON S-SPLIT p-HILBERT CLASS FIELD TOWERS WITH PRESCRIBED GALOIS GROUPS
Résumé
In this work, we show that given a finite p-group G, a number field K having a trivial p-class group Cl K , and a finite set of primes S of K, there exists a finite extension F/K such that the S-split p-Hilbert class field tower L S p (F ) of F has G as its Galois group. This extends results by Ozaki and Hajir-Maire-Ramakrishna.
Domaines
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|---|
| Licence |