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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.
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What is an example of a regular realization of $C_5$ over $\mathbb{Q}(x)$?
I wanted to make a certain comment, but it got too long, so here it is as an "answer" that is constructive in principle (and applicable over any field of characteristic 0, suitable to make cyclic regu …