Abstract Algebra | The center of a group.

We give the definition of the center of a group, prove that it is a subgroup, and give an example.

[mfavier]

The effort you are putting in these videos is really great. You really deserve to be discovered and grow. Keep up the good work!

[masonholcombe]

Coming back to these videos for my abstract algebra midterm... thanks!

[ThePharphis]

Great example for the center of a group!

[tracyh]

You need to show that the center of a group is nonempty in order for the subgroup test to apply(the empty subset vacuously passes the test!). Luckily, it is pretty clear that 1 is always in the center of any group.

[soranuareane]

For those of you curious, this was by far my favorite math course I ever took. Close second would be Proofs. The vast majority of the topics make intuitive sense and that makes learning this quite entertaining.

Plus there are some wonderfully-named theorems.

[biquinary]

What was the motivation for the first person to bother defining the center of a group?

[paulwang]

Hi, I have a small question, since G is a subgroup of G itself, so the centre of a group G is a centraliser of a subgroup, by the previous video, so it's definitely a subgroup. I think the proof here could be illustrated by the last video.

[AkamiChannel]

Recommendations for textbooks on this topic?

[tayebtchikou]

I think that the centre of the group is little same thing as the normal subgroup, isn't it?

[adamwilkshire]

Where is the playlist for this ? I cannot find it.