About the lectures on Galois theory

As indicated in the time schedule for this course, we will go over some part of the Galois theory for arbitrary fields. I will upload some (handwritten) notes next week. The material will follow the presentation in Fraleigh's book, however it will not be necessary to get that book. The notes will collect all the relevant results from Fraleigh in order for us to compute some important, basic examples. The goal is to understand how certain splitting fields of polynomials over a given field are related to, and determined by, certain known groups such as finite cyclic groups or dihedral groups.