COMPUTING THE TORSION OF THE p-RAMIFIED MODULE OF A NUMBER FIELD
Affiliation auteurs | !!!! Error affiliation !!!! |
Titre | COMPUTING THE TORSION OF THE p-RAMIFIED MODULE OF A NUMBER FIELD |
Type de publication | Journal Article |
Year of Publication | 2015 |
Auteurs | Pitoun F, Varescon F |
Journal | MATHEMATICS OF COMPUTATION |
Volume | 84 |
Pagination | 371-383 |
Date Published | JAN |
Type of Article | Article |
ISSN | 0025-5718 |
Résumé | We fix a prime number p and a number field K, and denote by M the maximal abelian p-extension of K unramified outside p. Our aim is to study the Z(p)-module x = Gal(M/K) and to give a method to effectively compute its structure as a Z(p)-module. We also give numerical results, for real quadratic fields, cubic fields and quintic fields, together with their interpretations via Cohen-Lenstra heuristics. |