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Theorems · Definition · group theory

AddAction.toPermHom

(G : Type u_1) → (α : Type u_5) → [inst : AddGroup G] → [AddAction G α] → G →+ Additive (Equiv.Perm α)

Given an action of an additive group G on a set α, each g : G defines a permutation of α.

Defined in
Mathlib.Algebra.Group.Action.End
Cited by
3 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddAction

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