Theorems · Definition · group theory

groupHomology.iCycles

{k G : Type u} →
  [inst : CommRing k] →
    [inst_1 : Group G] →
      (A : Rep.{u, u, u} k G) → (n : ℕ) → groupHomology.cycles A n ⟶ (groupHomology.inhomogeneousChains A).X n

The natural inclusion of the n-cycles Zₙ(G, A) into the n-chains Cₙ(G, A).

Defined in

Mathlib.RepresentationTheory.Homological.GroupHomology.Basic

Cited by

19 results in Mathlib

Foundations

Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroup