Consider the two groups and G = { |x = 1; y = 1; xy = yx}. G' = x = 1; y = x;

Consider the two groups and G = { |xª¹ = 1; y² = 1; xy³ = yx}. G' = x¹ = 1; y² = x²; x³y = Prove that G is not isomorphic to G'.