Calculation of Galois groups

<p>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.</p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

1978

Author dc:creator

• Schnackenberg, Daniel

Contributors dc:contributor

• Jerry M. Metzger

• Mathematics

Repository record dc:identifier

https://commons.und.edu/theses/347

OAI identifier oai:identifier

oai:commons.und.edu:theses-1346