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State the field-theoretic condition that determines whether the point (x,y) can be constructed using compass and straight-edge.

Algebra Galois theory and its application • What is the degree of Q(\sqrt{2},\sqrt{3},\sqrt{6})? • State the field-theoretic condition that determines whether the point (x,y) can be constructed using compass and straight-edge. • Which subsets of S_3 can occur as kernels of maps of groups S_3 –> G? • Suppose that f: G –> H is […]

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