Cyclotomic Extensions
Channel: Andrew Misseldine
Date: 2022-04-08

In this video, we compute the Galois group of the fifth cyclotomic polynomial whose Galois group is isomorphic to the cyclic group Z_4. Generalizations toward all cyclotomic extensions are made. 

This is lecture 34 (part 4/4) 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/1R0IVSBLQYC64Xo5TtZ8g66YTl1vH-h8F/view

This lecture is based upon Sections 23.2 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.