The effort you are putting in these videos is really great. You really deserve to be discovered and grow. Keep up the good work!
@masonholcombe3327 Жыл бұрын
Coming back to these videos for my abstract algebra midterm... thanks!
@tracyh57514 жыл бұрын
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.
@soranuareane4 жыл бұрын
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.
@ThePharphis4 жыл бұрын
Great example for the center of a group!
@nathanryan12 Жыл бұрын
Thanks so much for this series!
@paulwang2534 жыл бұрын
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.
@biquinary3 жыл бұрын
What was the motivation for the first person to bother defining the center of a group?
@mrnogot42513 жыл бұрын
Like most mathematical definitions it plays well with other concepts already established (e.g. communtivity, and subgroups). Also since commutative groups are "well behaved" the center of the group tells you how "well behaved" the group is.
@AkamiChannel2 жыл бұрын
Idk, but I'm here because I am trying to learn about clifford algebras and geometric algebra. My intro to clifford algebras book talked about centers of groups, so here I am.
@AkamiChannel2 жыл бұрын
Recommendations for textbooks on this topic?
@tayebtchikou1646 Жыл бұрын
I think that the centre of the group is little same thing as the normal subgroup, isn't it?
@paulhammond697826 күн бұрын
The centre of a group is a normal subgroup, so there are connections between the concepts.
@adamwilkshire23 жыл бұрын
Where is the playlist for this ? I cannot find it.