Lecture 15. Radical Field Extensions

0:00 Theorem: A Galois extension with a solvable Galois group is a redical extension
1:11 Reduction to the case of an extension of a cyclotomic field
3:46 Special case: extensions with an abelian Galois group
6:43 Kummer extensions
12:37 Grading on a field
18:32 Proof of the main result of this lecture

In this lecture we prove that every Galois extension of Q with a solvable Galois group is a radical extension.

This is a lecture in a graduate course "Groups and Galois Theory".

Here is the complete playlist for this course:

[howardcobiskey]

I appreciate the consistently high-quality presentation. Well done!