Compute the Galois group of the polynomial \(x^4-2\) over each of these fields: (a) the complex numbers (b) the reals, (c) the rationals, and (d) the integers modulo 5.
Question
Math 6310 • Algebra
Spring 2004 • Question 5
Question
Spring 2004 • Question 5
Compute the Galois group of the polynomial \(x^4-2\) over each of these fields: (a) the complex numbers (b) the reals, (c) the rationals, and (d) the integers modulo 5.