Abstract Algebra | The symmetric group and cycle notation.
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- čas přidán 27. 07. 2024
- We present the symmetric group and a shorthand known as cycle notation for easily performing calculations.
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I had an abstract algebra teacher long ago who was a student of John Durbin. Good teacher who stressed the importance of the Symmetric Group. He spent almost a week showing us that any Group is isomorphic to a subgroup of the Symmetric Group. He was fascinated by that. He used concrete instances and pulled them back to the actual subgroup of Sn. He loved what he was doing. He moved and I lost touch...
I am a longtime teacher of high school math and Ive been watching these videos in order to review and maybe extend my knowledge. But every time I watch, I can't get it out of my head how I miss a simple blackboard with chalk. So many years now with these stupid dry erase markers!
We appreciate the effort put into these lectures and your willingness to share information. Your explanations are concise and clear
Loving these abstract algebra videos
This has restored my faith in chalk!
Complete explanations but still clear. I wish you sir were my teacher, hahah. Thanks for the videos!
Thank you a lot! They are all really good videos!
You are extremely very cool. your explanations are easy to understand.
Love from India❤
very helpful
I literally asked my professor if there was a way to reduce these cycles exactly how you are doing at 13:00 and she said no :(
You didn’t prove the closure! Why? (3:40)
Because it's already a function that is a map onto itself. We don't need to prove closure.
I was the 69th like. nice.