MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Robert Gardner, Robert Beeler
The quaternions are an extension of the complex numbers which were first described by Sir William Rowan Hamilton in 1843. In his description, he gave the equation of the multiplication of the imaginary component similar to that of complex numbers. Many mathematicians have studied the zeros of quaternionic polynomials. Prominent of these, Ivan Niven pioneered a root-finding algorithm in 1941, Gentili and Struppa proved the Fundamental Theorem of Algebra (FTA) for quaternions in 2007. This thesis finds the zeros of quaternionic polynomials using the Fundamental Theorem of Algebra. There are isolated zeros and spheres of zeros. In this thesis, we also find the automorphisms of the zeros of the polynomials and the automorphism group.
Thesis - embargo
Ogunmefun, Olalekan, "Roots of Quaternionic Polynomials and Automorphisms of Roots" (2023). Electronic Theses and Dissertations. Paper 4186. https://dc.etsu.edu/etd/4186
Copyright by the authors.
Available for download on Saturday, June 15, 2024