The Hunt for Nonabelian Simple Groups: Part 5 - Groups of Order 12k: 24, 36, 48
Channel: Andrew Misseldine
Date: 2022-01-20

In this video, we conclude our discussion of possible orders of nonabelian simple groups less than 60. Use intersections of Sylow subgroups, normalizers, and kernels of conjugation actions to find normal subgroups of groups whose order is a multiple of 12, groups where other Sylow methods prove ineffective. 

This is lecture 10 (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/1VoZ64D6GZtirhcjCKfbg173GswfcCpWe/view

This lecture is based upon Section 15.2 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.