All.lean
Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.All
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Module documentation
Conductors and ray class fields
This All module collects the implementation-independent finite class-field correspondence for ray-class subgroups, full ray class fields, their degree and prime-splitting formulas, and conductor minimality. Each theorem has its own leaf module.
Imports47
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.EmbedsInRayClassFieldIffConductorLe
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.EmbedsInEveryRayClassFieldRealization
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.AbelianConductorFiniteUnramified
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.AbelianConductorFiniteSupport
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.AbelianConductorFiniteNormCriterion
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.AbelianConductorTameCriterion
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.AbelianConductorFiniteExponentIsLeast
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.AbelianConductorRayClassFieldLe
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.AbelianConductorRealRamification
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.IsAbelianConductorUnique
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.IsRayCongruentOfLe
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.NarrowRayClassGroupEquivNarrowClassGroup
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.OrdinaryNarrowModuliEqOfNoReal
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.OrdinaryRayClassGroupEquivClassGroup
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.ExistsAbelianConductor
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.ExistsUniqueAbelianConductor
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.FractionalIdealNormPrimeExponent
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassGroupFinite
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassIdealNormImageLeArtinKer
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassIdealNormImageEqArtinKer
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassIdealArtinKerEqNormRangeSupPrincipal
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassGroupHomExtFinitePrime
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassFieldDegree
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassFieldPrimeSplitting
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassFieldReciprocity
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayArtinModulusProjection
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.ExistsRayArtinModulusProjection
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassFieldModulusMonotone
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassIdealModulusProjectionPrime
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassIdealModulusProjectionSurjective
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayLocalHigherUnitAntitone
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayLocalHigherUnitMembership
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayLocalHigherUnitOpen
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayLocalHigherUnitOneAdd
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayLocalHigherUnitZero
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupPrimeInertiaDegree
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupDegree
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupExistence
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupEmbedding
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupFieldAntitone
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupRealizationEq
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupRealizationEquiv
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupPrimeSplitting
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupQuotient
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassSubgroupQuotientEquivMk
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayPrincipalIdealMembership
- Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayPrincipalIdealPrimeTo
Imported by1
This module has no indexed declarations. Its imports and full source are available here.