Subgroup.transferFocal_eq_pow

∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) [inst_1 : H.FiniteIndex] (x : ↥H), H.transferFocal ↑x = ↑x ^ H.index

The restriction of the transfer map to H acts like the power map x ↦ x^n mod H*, where n = [G:H].

Defined in: Mathlib.GroupTheory.Focal
Cited by: 2 results in Mathlib
Foundations: Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group Subgroup.FiniteIndex

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