On universal norms and the first layers of -extensions of a number field

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TitreOn universal norms and the first layers of -extensions of a number field
Type de publicationJournal Article
Year of Publication2015
AuteursMovahhedi A., T. Do NQuang
JournalMATHEMATISCHE ANNALEN
Volume362
Pagination817-838
Date PublishedAUG
Type of ArticleArticle
ISSN0025-5831
Résumé

For an odd prime and a number field containing a primitive -th root of unity, we describe the Kummer radical of the first layers of all the -extensions of in terms of universal norms of -units along the cyclotomic tower of . We also study ``twisted'' radicals related to A(F).

DOI10.1007/s00208-014-1134-3