AddMonoidHom.transfer

{G : Type u_1} →
  [inst : AddGroup G] →
    {H : AddSubgroup G} → {A : Type u_2} → [inst_1 : AddCommGroup A] → (↥H →+ A) → [H.FiniteIndex] → G →+ A

Given ϕ : H →+ A from H : AddSubgroup G to an additive commutative group A, the transfer homomorphism is transfer ϕ : G →+ A.

Defined in: Mathlib.GroupTheory.Transfer
Cited by: 1 results in Mathlib
Foundations: Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup AddCommGroup AddSubgroup.FiniteIndex

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