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18 votes
4 answers
2k views

What's the use of group cohomology for class field theory?

I'm a graduate student studying now for the first time class field theory. It seems that how to teach class field theory is a problem over which many have already written on MathOverflow. For example ...
12 votes
6 answers
3k views

applications of Tate-Poitou duality

What are nice applications of Tate-Poitou duality?