Infinite class field towers of number fields of prime power discriminant

Affiliation auteursAffiliation ok
TitreInfinite class field towers of number fields of prime power discriminant
Type de publicationJournal Article
Year of Publication2020
AuteursHajir F, Maire C, Ramakrishna R
JournalADVANCES IN MATHEMATICS
Volume373
Pagination107318
Date PublishedOCT 28
Type of ArticleArticle
ISSN0001-8708
Mots-clésHilbert 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.

DOI10.1016/j.aim.2020.107318