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Sep 22, 2017 at 5:57 comment added Denis Nardin @54321user It's just an easy consequence of the Dold-Kan correspondence. In particular, the homotopy groups of a simplicial abelian group are the homology groups of the associated complex (see C. Weibel, An introduction to homological algebra exercise 8.4.4).
Sep 21, 2017 at 20:29 comment added 54321user @DenisNardin Do you have a reference for this?
Sep 21, 2017 at 20:23 vote accept 54321user
Sep 21, 2017 at 17:50 comment added Denis Nardin There is a very explicit simplicial model of $K(G,n)$ by taking $G\otimes \bar{\mathbb{Z}}[S^n]$ (and taking $S^n=\Delta^n/\partial \Delta^n$)
Sep 21, 2017 at 17:46 history answered Tyler Lawson CC BY-SA 3.0