Module

RayClassGroup.lean

Nyll.ClassFieldTheory.Definitions.ConductorsAndRayClassFields.RayClassGroup
2 declarations indexed from sourceView source ↗

Ideal-theoretic ray class groups

Declarations

ClassFieldTheory.RayClassGroup

The ideal-theoretic ray class group of a modulus.

Source context 2 commands

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

namespace ClassFieldTheory
universe u
abbrev RayClassGroup
    {K : Type u} [Field K] [NumberField K]
    (m : RayClassModulus K)
ClassFieldTheory.instIsMulCommutativeRayClassGroup

Ray class groups are multiplicatively commutative.

Source context 2 commands

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

namespace ClassFieldTheory
universe u
instance instIsMulCommutativeRayClassGroup
    {K : Type u} [Field K] [NumberField K]
    (m : RayClassModulus K) : IsMulCommutative (RayClassGroup m)