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 a group homomorphism, briefly […]