Theorems · Theorem · group theory

groupHomology.H1AddEquivOfIsTrivial_symm_apply

∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] (A : Rep.{u, u, u} k G) [inst_2 : A.IsTrivial]
  (a : TensorProduct ℤ (Additive (Abelianization G)) ↑A),
  (groupHomology.H1AddEquivOfIsTrivial A).symm a = (TensorProduct.lift (groupHomology.mkH1OfIsTrivial A)) a

Defined in

Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree

Cited by

0 results in Mathlib

Foundations

Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroupRep.IsTrivial