Sur la capitulation pour le module de Bertrandias-Payan

preprint2016arXivOpen access

Abstract

We compute the capitulation kernel for the module of Bertrandias-Payan in an arbitrary ℓ\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.

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