Cycle Notation of Permutations - Abstract Algebra

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.

Be sure to subscribe so you don't miss new lessons from Socratica:

♦♦♦♦♦♦♦♦♦♦

Ways to support our channel:

► We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9

Thank you!

♦♦♦♦♦♦♦♦♦♦

We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition

Milne, Algebra Course Notes (available free online)

♦♦♦♦♦♦♦♦♦♦

Connect with us!

♦♦♦♦♦♦♦♦♦♦

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

♦♦♦♦♦♦♦♦♦♦

[deeneyugn]

These video should be sponsored by department of education of the world.

[TayaTerumi]

I study abstract algebra for fun, and I gotta say, this content is extremely engaging despite it being the first time I hear about some of these concepts. This is great.

[Mikeyboi]

You're actually amazing!!!! It's hard trying to understand in a lecture this topic and with the lecture notes too! Honestly, you're legendary!!!!

[thesvodnik]

One of the finest explanations of any topic on youtube. Congrats, and thank you

[annemargaretreyes]

Thank you so much for your Abstract Algebra playlist. I survived the semester because of you.

[danielrafatmazarbhuiya]

I am a student of pure mathematics, I heard about your channel and I started watching your videos around 1 hour ago or so.. and I am shocked at your way of delivering..I mean you are out of this world

[knight.]

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

[callumbudge]

This was seriously a life saver! Clearest, simplest, and most applicable summary I've seen

[yuryeuceda]

As always is a big pleasure to learn with you. Thank you a lot.

[danieljohannbutcher]

In any other formal lecture this would have been mysterious, very mysterious.

[inayahbrown]

These are so great! Reading my textbook is very difficult because everything looks so jumbled but you make everything make sense!

[michaeljmcguffin]

3:42 I felt sure she was going to say "tricycle" and "bicycle"

[jasontodd]

Absolutely amazing!! Just found you're channel today!, and my gosh what a great find! You're videos are so inspiring, fascinating and well made!!please please keep it up!! You're so awesome!!!! :)

[MoEats]

I cannot thank you guys enough. What a lucid way of explaining things!!! Why can't all our teachers be like this? I came looking for just one concept in Abstract Algebra and I am just hooked to the series. After watching these videos sooo many topics are much clearer. Otherwise I would just rote learn stuff for my exams. Subscribed right away. I ll watch anything you teach

[RobertKonigsberg]

Don't be mad: I used this video series to go to sleep. It worked really well! Now I want to go back and hear all the parts I missed because the parts I listened to were terrific.

[itsnow]

Very nice video. Was not only educational but really relaxing. Very simple explanation, great job!! 👌

[brianbell]

Amazing explanation. Really helped me understand the fundamentals of this section in my cryptography class! Thank you

[kpmaynard]

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

[tommy-xavierrobillard]

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

[harshvardhanchouhan]

Bestest education tutorial i ever seen 🙏 love from India ...It's easiest to understand the whole concept just beacuse of you !! Keep it up