Module

RayArtin.lean

Nyll.ClassFieldTheory.Definitions.ConductorsAndRayClassFields.RayArtin
1 declaration indexed from sourceView source ↗

The ray Artin map

Declarations

ClassFieldTheory.RayClassFieldRealization.rayArtin

The Frobenius-normalized ray Artin map.

Source context 3 commands

Surrounding namespaces, section variables, and local commands at this declaration.

noncomputable section
namespace ClassFieldTheory.RayClassFieldRealization
universe u
def rayArtin
    {K : Type u} [Field K] [NumberField K]
    {m : RayClassModulus K}
    (R : RayClassFieldRealization K m) :
    RayClassGroup m →* (R.extension ≃ₐ[K] R.extension)