# Eilenberg-Maclane space

Let $G$ be a group and $n \ge 1$ an integer. If $n > 1$, we require that $G$ be Abelian. An Eilenberg-Maclane space for the pair $(G,n)$ denoted $K(G,n)$, is defined as a path-connected space whose $n^{th}$ homotopy group is $G$, and for which all the other homotopy groups are trivial.
In the particular case where $n = 1$ the Eilenberg-Maclane space coincides with the classifying space for $G$, viewed as a discrete group.