The Fundamental Counting Principle (Group Actions)
Channel: Andrew Misseldine
Date: 2021-12-17

In this video, we present, with proof, the Fundamental Counting Principle of group actions, that the cardinality of an orbit is equal to the index of its stabilizer. 

This is lecture 2 (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/1WreUJD91MnVbjgnUUWWboL5m0o5JC9NC/view

This lecture is based upon Section 14.1 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.