Date of Award
Master of Science (MS)
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.
Swanson, Joseph, "Augmented Solvability of Nth Degree Polynomials" (2021). All Theses. 3499.