Abstract
dc:description.abstract<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>
Degree
thesis:*- Name thesis:degree_name
- Master of Science (MS)
- Level thesis:degree_level
- Thesis
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 1978
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Schnackenberg, Daniel
- Contributors dc:contributor
-
- Jerry M. Metzger
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Repository record dc:identifier
- https://commons.und.edu/theses/347
- OAI identifier oai:identifier
- oai:commons.und.edu:theses-1346