Links between homological algebra and algebraic number theory

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Can I find some interesting applications of homological algebra in algebraic number theory? I need some references. Thank you in advanced!

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You may be interested in Galois cohomology, which in my opinion is a very beautiful subject. As always, a good place to start is https://en.wikipedia.org/wiki/Galois_cohomology. Another good reference is a book of Serre's called Cohomologie Galoisienne which has an english translation published by Springer.