We define the orbit and stabilizer of an element being affected by a group of permutations, and mention an important relationship between that orbit and stabilizer.
you just saved me for my abstract algebra final tomorrow, i could not figure this out for the life of me until i watched this video! thank you so much for explaining this!!!! :)
Thank you for simplifying the concept and including a well-chosen, well-explained example. Look forward to watching your other abstract algebra videos. Just subscribed!
I'm glad you found it helpful. I'm not currently making new content for the channel, but I hope you enjoy the videos that are currently available. I'm generally willing to answer questions if you come across something that isn't clear, so feel free to ask.
That has always been the way that I teach. The theory is important, but it doesn't come out of nowhere. The whole reason it was developed was because people saw a pattern, and tried to work from there. Expecting people to immediately grasp the concepts without seeing them in use is not only unreasonable, but backwards.
Random, but: when I came to 0:43 and heard the next words, this suddenly popped up in my mind: (th-cam.com/video/nM__lPTWThU/w-d-xo.html) (Start at 0:50, the comment field did not understand that.)
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you just saved me for my abstract algebra final tomorrow, i could not figure this out for the life of me until i watched this video! thank you so much for explaining this!!!! :)
Thank you for simplifying the concept and including a well-chosen, well-explained example. Look forward to watching your other abstract algebra videos. Just subscribed!
I'm glad you found it helpful. I'm not currently making new content for the channel, but I hope you enjoy the videos that are currently available. I'm generally willing to answer questions if you come across something that isn't clear, so feel free to ask.
You have explained this infinitely better than my University lecturers. God bless you.
Thank you for simplifying
Thank you for the simplicity
I love you. Thank you
I have my maths semester tomorrow and I really needed this. Also the short vid time helps!!! I got it. Thankyou
very clear, thanks
Amazing 👍
I love how you do examples to explain things far better
That has always been the way that I teach. The theory is important, but it doesn't come out of nowhere. The whole reason it was developed was because people saw a pattern, and tried to work from there. Expecting people to immediately grasp the concepts without seeing them in use is not only unreasonable, but backwards.
This was very helpful for me, thank you for explaining Sir..
what a gorgeous explanation. Doing God's work
you are a saviour
Thanks for your good explanation! :)
Thank you!
Thanku so much Sir . Your video cleared my concepts.
THANK YOU
Thank you sir❤
Random, but: when I came to 0:43 and heard the next words, this suddenly popped up in my mind: (th-cam.com/video/nM__lPTWThU/w-d-xo.html) (Start at 0:50, the comment field did not understand that.)
Isn't the stabilizer of an identity in a group the group itself
The stabilizer is defined in reference to the set being permuted. That set is just a collection of elements, and doesn't in general have an identity.
@@patrickjones1510Thanks for clearing that.
Ypu arw coughing, do you have covid ? 😂
I don't think my having a cough over two years ago when this video was posted should be taken as any indicator of my current health.