Module

IsAbelianConductor.lean

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

Conductors of finite abelian extensions

Declarations

ClassFieldTheory.IsAbelianConductor

A modulus is the conductor of a finite abelian extension when it is exactly the least modulus whose ray class field contains the extension.

Source context 2 commands

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

namespace ClassFieldTheory
universe u v
def IsAbelianConductor
    (K : Type u) [Field K] [NumberField K]
    (L : Type v) [Field L] [NumberField L] [Algebra K L]
    (c : RayClassModulus K) : Prop