On the analyticity of the maximal extension of a number field with prescribed ramification and splitting

On the analyticity of the maximal extension of a number field with prescribed ramification and splitting

We determine all the p p -adic analytic groups that are realizable as Galois groups of the maximal pro- p p extensions of number fields with prescribed ramification and splitting under an assumption which allows us to move away from the Tame Fontaine-Mazur conjecture.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2024-09
Hauptverfasser: Lim, Donghyeok, Maire, Christian
Format: Artikel
Sprache:eng
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Zusammenfassung:We determine all the p p -adic analytic groups that are realizable as Galois groups of the maximal pro- p p extensions of number fields with prescribed ramification and splitting under an assumption which allows us to move away from the Tame Fontaine-Mazur conjecture.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/16922