Publication Date

Summer 2015

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Advisor

Roger C. Alperin

Keywords

Abstract Algebra, Galois, Generic Polynomials, Group, Lucas, Mattick

Subject Areas

Mathematics

Abstract

In Galois theory one is interested in finding a polynomial over a field that has a given Galois group. A more desirable polynomial is one that parametrizes all such polynomials with that given group as its corresponding Galois group. These are called generic polynomials and we provide detailed proofs of two theorems that give methods for constructing such polynomials. Furthermore, we construct generic polynomials for Sn, C3, V , C4, C6, D3, D4, and D6.

Download

Share

COinS