Date of Award
Master of Science (MS)
Jerry M. Metzger
In the 19th Century Galois developed a method for determining whether an equation is solvable. It relied on the close relationship between fields and their automorphism group. This paper is a survey of the techniques of Galois theory. After presenting the main results of elementary Galois theory and some useful facts about factorization, I develop the important methods of calculating the Galois group and give a proof of the Chebotarev density theorem.
Schnackenberg, Daniel, "Calculation of Galois groups" (1978). Theses and Dissertations. 347.