- #1
math_grl
- 49
- 0
This stuff is killing me...
Let [tex]K \leq M \leq L[/tex] be fields such that L is galois over M and M is galois over K. We can extend [tex]\phi \in G(M/K)[/tex] to an automorphism of L to show L is galois over K.
I need help filling in the details in why exactly L is galois over K.
Let [tex]K \leq M \leq L[/tex] be fields such that L is galois over M and M is galois over K. We can extend [tex]\phi \in G(M/K)[/tex] to an automorphism of L to show L is galois over K.
I need help filling in the details in why exactly L is galois over K.