- #1
lugita15
- 1,554
- 15
Consider field extensions of the form Q(u) where Q is the field of rational numbers and [itex]u=e^{\frac{2\pi i}{n}}[/itex], the principal nth root of unity. For what values of n is the Galois group of Q(u) over Q cyclic? It seems to at least hold when n is prime or twice an odd prime, but what else?
Any help would be greatly appreciated.
Thank You in Advance.
Any help would be greatly appreciated.
Thank You in Advance.