A Survey of Galois Theory

In this paper, we will see a summary of Galois theory and some results utilized in Algebra. We state and prove the Fundamental Theorem of Galois theory and then work a few examples to show its application to the determination of lattices of groups and fields. In Chapter 2, we prove the theorem which shows the connections between solvability of polynomials and groups and work a few examples demonstrating how to use groups to solve polynomials. In Chapter 3, we briefly consider the Inverse Problem of Galois theory where we consider arbitrary groups and try to find extensions for which they are the Galois group.

Name thesis:degree_name

Master of Science in Mathematics

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Mathematics

Year

1995

Author dc:creator

• Daniel, Christina L.

Contributors dc:contributor

• Les Reid

• Mathematics

Statement dc:rights

• © Christina L Daniel

Repository record dc:identifier

https://bearworks.missouristate.edu/theses/866

OAI identifier oai:identifier

oai:bearworks.missouristate.edu:theses-1867