[gujk]

I recently started reading now algebra book with a goal of understanding the Galois theoretical proof of his understanding unsolvability of the Quintic. This is generally considered the capstone of a complete 2-semester undergraduate study of algebra for a math major who is not pursuing graduate level pure math.

The interesting part IMO is the analysis of those normal subgroup chains and understanding the isomorphism to splitting fields.

Definitions and theorems without proofs or examples or illustrations is like the box without the gift inside. That post built up a pile of terminology but then ended before showing any content. It shows where to look out find the solutions at least.