Cycle Notation of Permutations - Abstract Algebra

|(a, b)=2, |(a b c)|=3, |(a b c d)|=4, ...., |(1 2 3 ... n)|=n because a cycle of length n has order n.

thank you veryyy much! That was realy Helpful!

Thank you very much. I struggled a lot to understand this. You are really a great teacher. All the best. I hope more great contents are coming.

I wish you could be my tutor. The way you analyse and sort things are outstanding..

This was very useful!

Lovely

Best explanation I've ever found

This is EXACTLY what I needed!😭 Thank you!

Thank you so so so much for this great video. It has helped me a lot. Best regards and wishes to you

I study this in polish language, but still i understand more from your videos than on lectures. Great job

Good tutor

amazing. i like how you explain dan the animation is very excellent.

Thank you, u've made each topic so clear in a simplified method, u are great! I love the way u explain everything

Really helped me🎉

Great video!

Thank you so much😭💕such a clarifying explanation 😊

You're really great 🥰 you made it so easy to learn ❤️

I love you, this was so helpful thank you

Max output in min time 🙏🙏

thank you for this <3

why are we studying this, is my question

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

Great 👍 explanations .. thankew so much

讲的形象生动易懂

i love you ! thank you

I think we should call a two-cycle a bi-cycle.

Thanks!

Thank you for creating this top quality series of videos, this is my third day with you guys, I have just finished the course learning Rings, and as I felt myself almost as a "Lord of the Rings" I needed a guide into the Kingdome of Groups. Thank you again talking about the magic of all those transformations using "student's" math language, instead of PhD's math language. The Groups and Rings are just groceries from the outdoor market and you definitely know how to cook and how to present all the "grocery" material in the way that it is (1) yummy, (2) easy to digest, (3) all flavors are blooming, (4) the more I eat the material the hangrier I get ---> it awakes the hanger for knowledge, not an every professor is capable to awake the hunger for the subject he/she teaches. You do!!!

just tell me how many permutaions of all 118, known elements

Thanks.

this teacher and this material are ideal, I don't know what to say, it's just clearly understandable material, thank you

Could we perhaps express this as some sort of polinomial?

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.

You explain in 12 minutes what my professor tries to explain in 90 mins and 50 slides and we still don't get it...

n-cycle has order n.

So order is the same as th number of distinct elements in cycle

For e.g:
(1 2) has order 2
(1 3 5 ) has order 3
(1 7 8 9 ) has order 4
And so on
Am I right?

Super clear explanation, Thank you!

It's Brilliant ☺️

Thank you! I was super confused and this video cleared all my doubts!!!! I pressed the like button and sent this to my fellow colleagues

Great

besttttttttt

Thankyou mam♥️

Nice lecture mam 👌

Also confusing, should a.b be written first as 2 and then 1? 1>3>2 ; then 2>2>1 >>>( 2,1) (though equal to (1,2)) , similarly b.a: 1>3>1 >>(); 2>1>3; 3>2>2 >>>(3,2) ==(2,3)

Great Tutorial! But there are things that went too fast toward s the end on multiplication. Can you please reply on this? "We are back to where we started giving us a cycle (2,3)"??