I'm interested in the calculation of $H_n (G,\mathbb{Z})$ for G a finitely generated abelian group, particularly for $n=3$. It's carried out in the 1954/55 Séminaire Henri Cartan, titled "Algèbres d'Eilenberg-MacLane et homotopie". It does everything I need to do very nicely, but it's old, it's in French, it's original research and so not organized in a pedagogical way; and I really wish I had a reference in English which did the same thing in modern language.

Is there a textbook reference, or at least a more modern reference, for the calculation of the integral homology of a finitely generated abelian group?

I'm interested in the calculation of $H_n (G,\mathbb{Z})$ for G a finitely generated abelian group, particularly for $n=3$. It's carried out in the 1954/55 Séminaire Henri Cartan, titled "Algèbres d'Eilenberg-MacLane et homotopie". It does everything I need to do very nicely, but it's old, it's in French, it's original research and so not organized in a pedagogical way; and I really wish I had a reference in English which did the same thing in modern language.

Is there a textbook reference, or at least a more modern reference, for the calculation of the integral homology of a finitely generated abelian group?

EDIT: I'm interested primarily in a reference for the ring structure- I want to be able to write the homology in terms of exterior algebras, divided polynomial algebras... that sort of thing.