How many elements are in the conjugacy class of (123) in S 4? In A 4?How many elements are in the conjugacy class of (123) in S 5? In A 5?
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 […]