ClassFieldTheory.upperRamificationGroup_normal
Each canonical real upper ramification group is normal in its decomposition group.
Source context 2 commands
Surrounding namespaces, section variables, and local commands at this declaration.
namespace ClassFieldTheory
universe u vLean source · statement
theorem upperRamificationGroup_normal
(K : Type u) (L : Type v) [Field K] [Field L] [Algebra K L]
[FiniteDimensional K L] [IsAbelianGalois K L]
[ValuativeRel K] [TopologicalSpace K]
[IsNonarchimedeanLocalField K]
[ValuativeRel L] [TopologicalSpace L]
[IsNonarchimedeanLocalField L]
[Valuation.HasExtension (ValuativeRel.valuation K) (ValuativeRel.valuation L)]
(t : ℝ) :
(upperRamificationGroup K L t).Normal