EtaleFundamentalGroups.Inertia.actualNormalizationWildSubgroup_normal_in_decomposition
Source context 3 commands
Surrounding namespaces, section variables, and local commands at this declaration.
namespace EtaleFundamentalGroups.Inertia
open SchemeTheory
universe u v wLean source · statement
theorem actualNormalizationWildSubgroup_normal_in_decomposition
(A : Type u) (K : Type v) (L : Type w)
[CommRing A] [IsDomain A] [IsDiscreteValuationRing A]
[Field K] [Field L] [Algebra A K] [IsFractionRing A K]
[Algebra K L] [Algebra A L] [IsScalarTower A K L] [IsGalois K L]
(Q : Ideal (normalizationCommAlgCat A L).carrier) [Q.IsMaximal] :
((actualNormalizationWildSubgroup A K L Q).map
(actualNormalizationInertiaToDecomposition A K L Q)).Normal