Support this course by joining Wrath of Math to access exclusive and early abstract algebra videos, plus lecture notes at the premium tier! ua-cam.com/channels/yEKvaxi8mt9FMc62MHcliw.htmljoin Abstract Algebra Course: ua-cam.com/play/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG.html Abstract Algebra Exercises: ua-cam.com/play/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc.html
Your notation at 5:00 is throwing me off. I'm used to seeing two rows enclosed with parenthesis for permutation groups like in a previous video in this series. Also why doesn't each of the x, and inv(x) have 3 elements, you just have "(2 3)" (I would expect (1 2 3) or something like that)
I think I "decoded" your notation. If you look back to your video "Permutation Groups and Symmetric Groups", (2 3) corresponds to alpha = (1 2 3 / 1 3 2), and (1 2 3) must correspond to delta = (1 2 3 / 2 3 1). As I followed the order of the playlist, I never encountered this alternative notation. One of the challenges of teaching is putting yourself in the mind of a newbie :)
how is the identity permutation different from (1,2,3) ? I don't get this notation. Does (1,2,3) mean you map the first element to 1, second element to 2, and 3rd to 3?
Hello sir, can you prove that symmetric group S_n has exactly 3 normal subgroups for n>=3 ; n not equal to 4? Please sir, make a video on this as well.
Support this course by joining Wrath of Math to access exclusive and early abstract algebra videos, plus lecture notes at the premium tier! ua-cam.com/channels/yEKvaxi8mt9FMc62MHcliw.htmljoin
Abstract Algebra Course: ua-cam.com/play/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG.html
Abstract Algebra Exercises: ua-cam.com/play/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc.html
It was so easy to understand normal subgroups with this video, unlike my previous 2 months in college lol. Thank you! :)
Glad it was helpful!
never disappoints, your videos are always clear, thank you so much
That's always what I'm going for! Thank you for watching!
It was very helpful if you make a video about this topic with matrices and another complicated example of normal subgroup
thank you so much you made it easy to understand the concept 👏🏻
Glad to help, thanks for watching!
Thank you so much
Maaaannnnn! Your explanations are great! Thank you so much!
Thank you! I really am trying to nail the clarity with my abstract algebra videos, glad to be helpful!
Your notation at 5:00 is throwing me off. I'm used to seeing two rows enclosed with parenthesis for permutation groups like in a previous video in this series. Also why doesn't each of the x, and inv(x) have 3 elements, you just have "(2 3)" (I would expect (1 2 3) or something like that)
I think I "decoded" your notation. If you look back to your video "Permutation Groups and Symmetric Groups", (2 3) corresponds to alpha = (1 2 3 / 1 3 2), and (1 2 3) must correspond to delta = (1 2 3 / 2 3 1). As I followed the order of the playlist, I never encountered this alternative notation. One of the challenges of teaching is putting yourself in the mind of a newbie :)
6:38 the subgroup is the alternating group, being the kernel of the signature morphism, it is normal.
Very easy bro! I like your way to explain. Great tank for your help
Glad it helped! Thanks for watching!
Thank u!
Glad to help - thanks for watching!
how is the identity permutation different from (1,2,3) ? I don't get this notation. Does (1,2,3) mean you map the first element to 1, second element to 2, and 3rd to 3?
Hello sir, can you prove that symmetric group S_n has exactly 3 normal subgroups for n>=3 ; n not equal to 4? Please sir, make a video on this as well.
Nice explanation
Thank you!
Your videos are so helpful 👏👏
So glad to help - thanks for watching and let me know if you ever have any questions!
Fantastic stuff. Thank you
Glad to help - thanks for watching!
Thank you soooooooo much 🤩
I’m glad to help!
Thank you!
You're welcome!
Very good lcture
Thank you!
Is there a concept in mathematics called "concubine" lol that's what i think of when I hear "conjugate"
Thank you!!
Glad to help!