I have some troubles with this problem:
Let $E/F$ be a Galois extension with Galois group cyclic. Prove that two intermediate $B_1$ and $B_2$ satisfy $B_1\subseteq B_2$ if $[E:B_2]$ divides $[E:B_1]$.
Thanks
I have some troubles with this problem:
Let $E/F$ be a Galois extension with Galois group cyclic. Prove that two intermediate $B_1$ and $B_2$ satisfy $B_1\subseteq B_2$ if $[E:B_2]$ divides $[E:B_1]$.
Thanks