(Abstract Algebra 1) Definition of a Cyclic Group

[@SarahDeGasperis-e8c]

i have gone through many videos on generators and cyclic groups and this is the only one that was actually helpful

[@MrSaiLikesPie]

Wish I had found this sooner than the day before my finals.

[@iqramanzoor7250]

Is (z20,×) group? Please give me answer.

[@chinedusamuel7950]

Very clear... Thank u sir

[@DJJOHN92]

first part of the video: yes next part of the video: help

[@lemyul]

what do you mean you're back from where you started? you didn't start at zero tho

[@tylerdurden786]

Straight to the point, clear and not abstract. Many thanks!

[@1996harith]

Very clear and precise. Great job!

[@ThefamousMrcroissant]

Very simple concept, explained clearly; as it should be. Wasn't quite sure what to make of it from the book, so thanks for this!

[@learnifyable]

I'm glad to hear that you liked the explanation.

[@foodiesonsafari6341]

Sir how do you write the group table of s3..plz help

[@Brodie990912]

Thanks mate for this vid, really saved my ass here on the night before my Maths C exam. Reading the textbook gets real technical and I end up ongoing much more than is needed for the test. This explained everything perfectly. Cheers, keep up the vids. P.s I'm subscribed now ;)

[@learnifyable]

+Brodie Roberts Thanks!

[@ivankristoffergamilla5948]

Huh? How come it is not cyclic? Usub12, you can see that it generated all the values in the set except for one cause it is an identity.

[@divyadulmini374]

Thank you very much sir,I learned that part very easily with your video.thank you ❤️❤️❤️

[@MathSta_Sam]

Very nice explanation, but can u please explain how you got the Carley table for the set S3....am confused there

[@stapleman007]

See previous video in series "Symmetries of Equilateral Triangle"

[@jyotsnajosh1234]

Nice explanation. Thank you sir.

[@jackedunicorn6166]

Ha, you said Mewtwo, and also Learnifyable much lol

[@stapleman007]

To all those who wonder where S3 came from kzbin.info/www/bejne/eoDCoXuJj5ZlpLc

[@andrewworkman5041]

CovidImages need to be invested more than half19

[@EREN-lj3jt]

Can you find multiplicative modulo on Z20

[@darrenbesas9684]

Thanks a lot hehe. This is very helpful 💪

[@champboy]

Love the video!

[@sazankochar1954]

give an example of cyclic quotien gruop

[@sunmijung5099]

how can you get group table of S3?

[@LASYAMUSIC]

Thanks for the video! It was very helpful :)

[@learnifyable]

+Srish ti I'm glad to hear that it helped!

[@JaniceReid]

THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!

[@orangeleon7]

thank you for this video lol amazing

[@CORBYGLASSES123]

This is confusing. You should teach it without the table. So we can apply it to different problems. “1+1is 2 .. 3+1 is 4” why are we just adding 1!?????

[@teachyourself3677]

Please which book are you using for the abstract algebra or you will recommend a book for me on abstract algebra.

[@hillarioushilariokasaquerm684]

I'll be having a test tomorrow God willing in this course but hardly understood anything until today. I'm ready for the test now, good job!

[@sayanrana6340]

Thank u so much I totally understand that....by ur lecture... Thank u

[@Pentazoid111]

Is this PatrickMJT?

[@skyzhangty1]

How do you generate the integer group by applying addition to 1? You will only get all positive integers

[@susannaokegbenro7660]

Thank you so much for this. You saved me a lot of trouble

[@jahedikhan2134]

Thanks You So Much

[@harshitha6160]

Thank you so much ,understood very easily ....tqqq sir

[@vismayak5709]

Thanku sir😊

[@sindhumahe9655]

If modulo 7 under multiplication pls solve this prblm sir.its too important pls sir

[@حوراءسعدمحمود-ق4غ]

Thank you very mach for this explanation

[@watermelon6103]

I was very confused and this video saved me, thanks!

[@niastrachan985]

Thank you!

[@dhanalakshmim4495]

sir what is the definition of cyclic in nilpotent transformation? please explain sir it's my kind request 🙏🙏

[@mariamathews3362]

Thanks a lot

[@aljojose7478]

Nice class🥂

[@tithibose281]

Very good 🤠

[@chunkylover5367]

How do you find the generators for something multiplicative? The examples you gave were excellent and helped a lot, but you didn't do an example like U(10)..

[@akiramiyahara4533]

Very good explanation 👍

[@Hope-cw3dk]

Thankkkkkkkssss

[@bradliu3399]

I sincerely want to thank you... /Bow. Seriously!

[@Bemath_kh]

More videos please, so quiet from you!♥️♥️✍🏿✍🏿🙏🙏

[@diyadas6436]

helped a lot, thank U so much....but please upload the videos of the theorems too...specially cyclic group and all these..

[@learnifyable]

+Diya Das I'm glad to hear that you liked the video. I do plan on adding more videos in the future.

[@Harikrishnan-mo7tm]

thankyou ..subscribed

[@raducumihaicristian]

Dosen't this proof work only if the binary opertion is multiplicatin?

[@learnifyable]

+SFK MIG While I've been using multiplicative notation, the concepts hold just as well with additive notation. Change a^n to na, for instance.

[@nasser_omar]

Thanks For this explanation .I love it

[@GK-gm1mf]

I just found this video 2 hours before my final exam. Saved my life hahha i finally understand cyclic groups

[@ToanPham-wr7xe]

😮

[@Subbu_-]

what about Z30,Z50,.....ETC.

[@savitasharma4872]

Hindi translation me cahiye sir ji please

[@chaimaagarfaoui8106]

danke

[@darla6706]

Sir please help me in this type of question. Find all subgroups of Z 2013

[@mtahiriqbal3613]

All divisor of this number are subgroup

[@sartajmuzafer9636]

❣️❣️❣️❣️

[@neetudeshwal1612]

Ap msc k liye padhate ho kya

[@jeweljochan]

Thank You Sir 😊

[@ruaidhriarchbold]

Thanks mate this really helped

[@Love_Hope_from_Above]

Prof. Learnifyable: Many thanks for the new video on the Definition of a Cyclic Group. As usual, I love your examples cited and your explanations. You are indeed a born teacher with the gift of communicating higher math really well! You do have a fairly large number of followers: Within 24 hours there are over 15 views of this video! Please find below a natural extension of your examples mentioned in your video. Any cyclic group of order n is isomorphic to Zn: For the dihedral group of an equilateral triangle (D3), = = {r1, r2, r0} is isomorphic to Z3 = {mu1, r0} is isom to Z2 [ mu represents a flip] = {mu2, r0} is isom to Z2 = {mu3, r0} is isom to Z2 Look forward to seeing more abstract-algebra videos from you soon. I understand that you have a tight schedule. When do you think is a good time to introduce isomorphic groups (long-awaited for)? Respectfully yours, Benny, Calif. 2-13-2015

[@learnifyable]

Hi Benny, I'm glad to see that you are still enjoying the videos. I have quite a bit more to say about cyclic groups, but I suppose I could make a video exploring isomorphisms. I had planned on using the group of units mod n to show the relationship between cyclic groups and abelian groups. But, in order to do that, I need to make a video introducing the units mod n. But, in order to do that, I need to explain congruence mod n. There is just so much to discuss and so little time! More videos are on the way!

[@irenielmoko]

Thanks.

[@tallasrilekha114]

Thank you u saved my life

[@thomasthomas3373]

Thank you sir

[@rogueterror]

amazing, thank you fror this

[@jimbanks5401]

My king

[@learnifyable]

Awwww thank you!

[@appleapple1763]

How did you get s3

[@bonfacemusango6326]

awesome tutor

[@TurboWindex]

4, 2, 0

[@ahexcuseme6936]

This is amazing

[@hussnainali2764]

amazing explanation so easy to grasp .thanks