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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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A polynomial whose galois group is D_8 [closed]
I need to construct such a polynomial, and more generally: given a group G, how can it be realized as a galois group?