Determine the Galois group of \(x^4-2\) over each of the following fields: the complex numbers; the real numbers; the rational numbers; the integers modulo 5.
Question
Math 6310 • Algebra
Fall 2006 • Question 6
Question
Fall 2006 • Question 6
Determine the Galois group of \(x^4-2\) over each of the following fields: the complex numbers; the real numbers; the rational numbers; the integers modulo 5.