GT23. Composition and Classification

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  • เผยแพร่เมื่อ 7 ม.ค. 2025

ความคิดเห็น • 10

  • @Relative0
    @Relative0 10 ปีที่แล้ว

    Just had to say, you really can bring concepts together! Great examples i.e. Jorden holder theorem and simple factors of two subnormal series as well as the alternate definition of "Solvable" very well done!

  • @MathDoctorBob
    @MathDoctorBob  12 ปีที่แล้ว +1

    This is the last lesson in a series of over 23! A simple group G has no normal subgroups other than e and G itself. Look for titles in the GT series with An (alternating group). Master list is at the website. - Bob

  • @MathDoctorBob
    @MathDoctorBob  12 ปีที่แล้ว

    Thanks for noticing! Busy three weeks. Finishing up the reddit class, lots of home repair, and got my jiu-jitsu brown belt. I'm hoping for regular production here on out. - Bob

  • @MathDoctorBob
    @MathDoctorBob  12 ปีที่แล้ว

    Good luck - it looks very promising! Symmetric polynomials are great fun; they are at the heart of some interesting work in representation theory. - Bob

  • @Godisahomo
    @Godisahomo 12 ปีที่แล้ว

    glad to see you back

  • @MathDoctorBob
    @MathDoctorBob  12 ปีที่แล้ว

    I give Galois Theory lip service since I'm pretty sure I haven't mentioned any applications of group theory!
    I'll definitely check out the blog. - Bob

  • @SamuelCavazos
    @SamuelCavazos 12 ปีที่แล้ว

    Excellent!

  • @wdlang06
    @wdlang06 12 ปีที่แล้ว

    this video is very advanced. but do you have a video on what is a simple group?

  • @MathDoctorBob
    @MathDoctorBob  12 ปีที่แล้ว

    Thanks! - Bob