Infinite class field towers of number fields of prime power discriminant
Affiliation auteurs | Affiliation ok |
Titre | Infinite class field towers of number fields of prime power discriminant |
Type de publication | Journal Article |
Year of Publication | 2020 |
Auteurs | Hajir F, Maire C, Ramakrishna R |
Journal | ADVANCES IN MATHEMATICS |
Volume | 373 |
Pagination | 107318 |
Date Published | OCT 28 |
Type of Article | Article |
ISSN | 0001-8708 |
Mots-clés | Hilbert class field tower, Root discriminant |
Résumé | For every prime number p, we show the existence of a solvable number field L ramified only at {p, infinity} whose p-Hilbert Class field tower is infinite. (C) 2020 Elsevier Inc. All rights reserved. |
DOI | 10.1016/j.aim.2020.107318 |