Research proof index

If H²ⁿ⁺²(H,M) and H²ᵐ⁺¹(H,M) are both zero for every subgroup H of G then M is acyclic. -/ theorem groupCohomology.trivialCohomology_of_even_of_odd_of_solvable [Finite G] [Group.IsSolvable G] (M : Rep R G) (n m : ℕ) -- todo: don't quantify over all types (h_even : ∀ (H : Type) [Group H] {φ : H →* G} (_ : Function.Injective φ), IsZero (groupCohom...

If H²ⁿ⁺²(H,M) and H²ᵐ⁺¹(H,M) are both zero for every subgroup H of G then M is acyclic.