BooksecrCollected Volumepp. 11–15

On fields of totally S\mathfrak{S}-adic numbers. With an appendix by Florian Pop

  • Lior Bary-Soroker

    Tel Aviv University, Israel

  • Arno Fehm

    University of Konstanz, Germany
On fields of totally $\mathfrak{S}$-adic numbers. With an appendix by Florian Pop cover

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Abstract

Given a finite set S\mathfrak{S} of places of a number field, we prove that the field of totally S\mathfrak{S}-adic algebraic numbers is not Hilbertian.