Roots of Unity and Finite Fields
Channel: Andrew Misseldine
Date: 2022-03-31

In this video, we generalize the notion of a root of unity and cyclotomic polynomial over general fields, with an emphasis on finite fields. We prove how roots of polynomials repeat according to the order of the finite field.

This is lecture 32 (part 1/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4230 - Abstract Algebra II at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1RLeMKChD595gLRNxlT6WmIc6kpJdUkFl/view

This lecture is based upon Sections 22.2 of Abstract Algebra: Theory and Applications (http://abstract.ups.edu/) by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.