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All of your videos are art. Literally the clearest explanation of abstract algebra I've come across.
I can definitely see these videos as being the critical "factor" in someone doing well in a group theory class!
It is so beautiful! Thank you so much, Matthew!
Why do you have two (1423) in the table? One is in the second column, and the other is in the fourth column. And two (1324) in the third column?
Thank you. I finally understand it.
Thanks!!
What you do with a column of S4 (obtain a subgroup isomorphic to S3) is not possible with the quaternion group when you take N={1,-1}. I'm I wrong?
Depends what you mean… could we not do something likeN iN jN kN 1 i j k-1 -i -j -kSince N is the center of the quaternions it’s definitely a normal subgroup.
All of your videos are art. Literally the clearest explanation of abstract algebra I've come across.
I can definitely see these videos as being the critical "factor" in someone doing well in a group theory class!
It is so beautiful! Thank you so much, Matthew!
Why do you have two (1423) in the table? One is in the second column, and the other is in the fourth column. And two (1324) in the third column?
Thank you. I finally understand it.
Thanks!!
What you do with a column of S4 (obtain a subgroup isomorphic to S3) is not possible with the quaternion group when you take N={1,-1}. I'm I wrong?
Depends what you mean… could we not do something like
N iN jN kN
1 i j k
-1 -i -j -k
Since N is the center of the quaternions it’s definitely a normal subgroup.