Abstract Algebra - 9.1 Normal Subgroups

We begin Chapter 9 by looking closely at something called a Normal Subgroup. Our study to begin chapter 9 is essential to understanding factor groups in our next video. We also revisit the idea of conjugation, which we brought up previously but didn't give a name to.

Video Chapters:
Intro 0:00
What is a Normal Subgroup - example and non-example 0:06
When ah does not equal ha, but aH=Ha 3:18
Proving a Normal Subgroup 7:00
Why does the Normal Subgroup Test Work? 12:14
Normal Subgroup Properties and Examples 14:47
Practice 17:13
Up Next 21:45

This playlist follows Gallian text, Contemporary Abstract Algebra, 9e.