§ Galois theory by "Abel's theorem in problems and solutions"
I found the ideas in the book fascinating. The rough idea was:
- Show that the th root operation allows for some "winding behaviour" on the complex plane.
- This winding behaviour of the th root is controlled by , since we are controlling how the different sheets of the riemann surface can be permuted.
- Show that by taking an th root, we are only creating solvable groups.
- Show tha is not solvable.