FIT3.1.3. Example of Splitting Field
Field Theory: Let f(x) = x^4 -16x^2 +4. We find the roots of f(x), calculate the splitting field K of f(x) over Q in C, and determine the automorphism group of K.
Field Theory: Let f(x) = x^4 -16x^2 +4. We find the roots of f(x), calculate the splitting field K of f(x) over Q in C, and determine the automorphism group of K.