All.lean
Nyll.ClassFieldTheory.Theorems.HilbertSymbols.All
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Module documentation
Hilbert symbols
This All module collects the power-class quotient theorem, existence and the norm-residue criterion for local Hilbert pairings, and existence of a coherent family satisfying the global product formula.
Imports32
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.PowerClassEqOneIff
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.PowerClassMul
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.PowerClassInv
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.PowerClassPow
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.PowerClassEqIff
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.HilbertPairingSymbolMul
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.HilbertPairingSymbolMulRight
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.HilbertPairingPerfect
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.LocalHilbertPairingExists
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.LocalHilbertPairingArtinNormalization
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.LocalHilbertPairingExponentCompatibility
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.RootQuotientChoiceIndependence
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.LocalHilbertPairingInverse
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.LocalHilbertPairingNormCriterion
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.LocalHilbertPairingPerfectExists
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.HilbertProductFormula
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.GlobalHilbertPairingFiniteSupport
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.FinitePlaceHilbertBadSetFinite
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.GlobalHilbertPairingSupportBound
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraFiniteFree
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraFiniteEtale
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraProductDecomposition
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraUniformFieldFactors
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraUniformFactorDegree
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraCopiesOfSimpleFactor
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraNormProduct
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraFinrank
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraNormIffSimpleRadicalNorm
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraNormIndex
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerRadicalDegreeEqPowerClassOrder
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.KummerAlgebraOneNormSurjective
- Nyll.ClassFieldTheory.Theorems.HilbertSymbols.PowerClassGroupFinite
Imported by1
This module has no indexed declarations. Its imports and full source are available here.