Date of Award
May 2021
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematical Sciences
Committee Member
James Coykendall
Committee Member
Kevin James
Committee Member
Sean Sather-Wagstaff
Abstract
A group is called solvable if its derived series descends to the identity element. Galois discovered that a polynomial is solvable by radicals if and only if its Galois group is solvable. In 1824, Niels Abel published a paper proving the insolvability of a general quintic polynomial. In this paper, we provide two augmented strategies to solve all quintics, and discuss methods for how to make all nth degree polynomials solvable.
Recommended Citation
Swanson, Joseph, "Augmented Solvability of Nth Degree Polynomials" (2021). All Theses. 3499.
https://open.clemson.edu/all_theses/3499
COinS