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Theorems · Definition · number theory

ValuationSubring.decompositionSubgroup

(K : Type u_1) →
  {L : Type u_2} →
    [inst : Field K] → [inst_1 : Field L] → [inst_2 : Algebra K L] → ValuationSubring L → Subgroup Gal(L/K)

The decomposition subgroup defined as the stabilizer of the action on the type of all valuation subrings of the field.

Defined in
Mathlib.RingTheory.Valuation.RamificationGroup
Cited by
0 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra

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