Simple Groups
Channel: Andrew Misseldine
Date: 2020-11-18

In this video, we introduce the notion of a simple group and prove that cyclic groups are simple if and only if their order is prime. We also prove that the alternating group A_n is simple when n greater than or equal to 5.

This is lecture 30 (part 5/5) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4220 - Abstract Algebra I 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/1gVg95bRVAbuPB4WF6xQIWAdlZNLvQYhJ/view

This lecture is based upon Section 10.2 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.