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Cycle Notation gives you a way to compactly write down a permutation. Since the symmetric group is so important in the study of groups, learning cycle notation will speed up your work with the group Sn. In this lesson we show you how to convert a permutation into cycle notation, talk about the conventions, and discuss the key properties of cycles.

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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S

Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html

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Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro
Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison
Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison

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23 Comments

Comments are closed.

  1. Wow what a nice timing, my algebra 1 exam is thursday, thank you that was awesome!

  2. Programming school 3 years ago

    🙏🙏🙏

  3. Ash 3 years ago

    Was like revisiting my older maths lessons. Great explanation ,very lucid

  4. Pchychopathetic 3 years ago

    Where was that 1 semester ago? 🙁
    I love this!

  5. I could only be ur student if I were blind. I would never be able to hear a word u would say if I were not. I'd be so distracted.

  6. Hythloday71 3 years ago

    Will you marry me ?

  7. xTroop18546x 3 years ago

    The hotness is distracting from the lesson.

  8. aki si 3 years ago

    Ur back. The best and most beautiful. Didn't understand much but who cares, ur uploading videos that more important. 😁😁😁😁…. I don't know ur name so what should I call u?

  9. abbasi fahad 3 years ago

    Shez the most beautiful lady .

  10. edvan Sousa 3 years ago

    melhor explicação sobre a temática que já vi…..

  11. Daniele Scotece 3 years ago

    So (4,2,1) mmmmmm
    Collatz conjecture anyone?

  12. Keith Maynard 3 years ago

    Awesome!! Thank you, this is a wonderful approach to dealing with a tricky situation.

  13. Yashvit Kumar 3 years ago

    Thx your video really helped me

  14. Najoo Tareen 3 years ago

    Waaoooo

  15. Najoo Tareen 3 years ago

    But make a video about some important careers

  16. Najoo Tareen 3 years ago

    Plzzz

  17. Najoo Tareen 3 years ago

    I want to see how commerce is important

  18. Najoo Tareen 3 years ago

    Lalliana did you see

  19. Najoo Tareen 3 years ago

    After longs days you comeback i was think that you have leaved socratica…

  20. asha v 3 years ago

    So…..the order of an n-cycle is n? Since it essentially has all unique elements.

  21. Taras Pokalchuk 3 years ago

    i want to learn about commutator

  22. Adhithya Kallada 3 years ago

    I don't want to know anything about cycle notation of permutations.I just came here to see you

  23. I did not understand you nor did you get English

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