Solvable Groups
In this video, we introduce the notion of a composition series of a finite group and provide examples. We present the Jordan-Hölder Theorem. We define the notion of a solvable group and provide examples.
This is lecture 36 (part 1/2) 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/1QgS6...
This lecture is based upon Sections 13.2 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.