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Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is, in some sense, simpler and better understood.
5
votes
Is Galois theory necessary (in a basic graduate algebra course)?
I am not a graduate student (yet), and don't really know about what first-year grad courses are like, but I don't think that Galois theory should be dropped because "it takes too long to develop", at …