Abstract Algebra - 3.3 Examples of Subgroups: The Cyclic Subgroup and the Center

Now that we know how to determine if a subset is a subgroup, let's take a look at two subgroups we should become familiar with. The first is the cyclic subgroup. We will devote our next chapter to cyclic groups, but you'll find we have already discussed generators and cyclic groups when discussing D4.

We will also examine both the center of a group and the centralizer of an element, both of which are subgroups of the original group, G.

Video Chapters:
Intro 0:00
The Cyclic Subgroup 0:10
Back to the Dihedral Groups 6:10
The Center 9:20
Back to the Dihedral Groups (Again) 12:07
Find the Center of GL(2,R) 17:07
Up Next 19:38

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

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Watching your playlist on abstract algebra. Very informative and logical. Thanks for uploading.