Galois Groups of Quadratics, Cubics, and Quartics
In this final section, we show how to compute Galois groups of polynomials of low degree over ℚ. Recall that the Galois group of a polynomial of degree n is a subgroup of S n (regarded as the group of all permutations of the roots; of course, some of these permutations may have nothing to do with field automorphisms!).
KeywordsReal Root Galois Group Division Algebra Galois Theory Irreducible Polynomial
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