Abstract Algebra | The symmetric group and cycle notation.

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  • Опубліковано 3 гру 2024

КОМЕНТАРІ • 14

  • @MyOneFiftiethOfADollar
    @MyOneFiftiethOfADollar 2 роки тому +6

    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...

  • @9340Steve
    @9340Steve 3 роки тому +11

    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!

  • @RC-xy5gh
    @RC-xy5gh 3 роки тому +3

    We appreciate the effort put into these lectures and your willingness to share information. Your explanations are concise and clear

  • @JB-ui1dq
    @JB-ui1dq 4 роки тому +3

    Loving these abstract algebra videos

  • @d-rex7043
    @d-rex7043 4 роки тому +4

    This has restored my faith in chalk!

  • @michellejingdong
    @michellejingdong 2 роки тому

    Thank you a lot! They are all really good videos!

  • @laetvm6793
    @laetvm6793 3 роки тому +1

    Complete explanations but still clear. I wish you sir were my teacher, hahah. Thanks for the videos!

  • @dennispamintuan1904
    @dennispamintuan1904 2 роки тому

    You are extremely very cool. your explanations are easy to understand.

  • @sonampriya3012
    @sonampriya3012 4 роки тому +2

    Love from India❤

  • @ddiq47
    @ddiq47 3 роки тому +1

    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 :(

  • @schoolmaths6051
    @schoolmaths6051 3 роки тому +1

    You didn’t prove the closure! Why? (3:40)

    • @AkamiChannel
      @AkamiChannel 2 роки тому +1

      Because it's already a function that is a map onto itself. We don't need to prove closure.

  • @jjdimi5450
    @jjdimi5450 4 роки тому

    very helpful

  • @ddiq47
    @ddiq47 3 роки тому

    I was the 69th like. nice.