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On the capitulation for the Bertrandias-Payan module. (Sur la capitulation pour le module de Bertrandias-Payan.) (French. English summary) Zbl 1406.11113
Algèbre et théorie des nombres 2016. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2016, 45-58 (2017).
Summary: We compute the capitulation kernel for the module of Bertrandias-Payan in an arbitrary \(\ell\)-extension of number fields which satisfies the Leopoldt conjecture. As a consequence we relate the existence of extensions with trivial such module to the classical problem of locally cyclotomic towers.
For the entire collection see [Zbl 1365.11004].

11R37 Class field theory
11R23 Iwasawa theory