Eilenberg–Maclane spectrum

An Eilenberg-MacLane spectrum is a fundamental concept in stable homotopy theory, and it is used to represent cohomology theories in the context of stable homotopy categories. Specifically, for an Abelian group \( G \), the Eilenberg-MacLane spectrum \( H\mathbb{Z}G \) can be thought of as a spectrum that represents the homology or cohomology theory associated with the group \( G \).