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(Abstract Algebra 1) Definition of a Cyclic Group 

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The definition of a cyclic group is given along with several examples of cyclic groups.

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16 июн 2024

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Комментарии : 82   
@tylerdurden786
@tylerdurden786 5 лет назад
Straight to the point, clear and not abstract. Many thanks!
@1996harith
@1996harith 8 лет назад
Very clear and precise. Great job!
@GK-gm1mf
@GK-gm1mf 3 года назад
I just found this video 2 hours before my final exam. Saved my life hahha i finally understand cyclic groups
@MrSaiLikesPie
@MrSaiLikesPie 4 года назад
Wish I had found this sooner than the day before my finals.
@iqramanzoor7250
@iqramanzoor7250 3 года назад
Is (z20,×) group? Please give me answer.
@ThefamousMrcroissant
@ThefamousMrcroissant 7 лет назад
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
@learnifyable 7 лет назад
I'm glad to hear that you liked the explanation.
@user-mv3rq9li5k
@user-mv3rq9li5k 8 месяцев назад
i have gone through many videos on generators and cyclic groups and this is the only one that was actually helpful
@Brodie990912
@Brodie990912 9 лет назад
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
@learnifyable 8 лет назад
+Brodie Roberts Thanks!
@watermelon6103
@watermelon6103 2 года назад
I was very confused and this video saved me, thanks!
@susannaokegbenro7660
@susannaokegbenro7660 3 месяца назад
Thank you so much for this. You saved me a lot of trouble
@champboy
@champboy 3 года назад
Love the video!
@divyadulmini374
@divyadulmini374 4 года назад
Thank you very much sir,I learned that part very easily with your video.thank you ❤️❤️❤️
@hillarioushilariokasaquerm684
@hillarioushilariokasaquerm684 2 года назад
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
@sayanrana6340 4 года назад
Thank u so much I totally understand that....by ur lecture... Thank u
@nasser_omar
@nasser_omar 5 лет назад
Thanks For this explanation .I love it
@ahexcuseme6936
@ahexcuseme6936 6 лет назад
This is amazing
@akiramiyahara4533
@akiramiyahara4533 4 года назад
Very good explanation 👍
@tallasrilekha114
@tallasrilekha114 6 лет назад
Thank you u saved my life
@Love_Hope_from_Above
@Love_Hope_from_Above 9 лет назад
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
@learnifyable 9 лет назад
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!
@harshitha6160
@harshitha6160 5 лет назад
Thank you so much ,understood very easily ....tqqq sir
@bradliu3399
@bradliu3399 7 лет назад
I sincerely want to thank you... /Bow. Seriously!
@ruaidhriarchbold
@ruaidhriarchbold 5 лет назад
Thanks mate this really helped
@LASYAMUSIC
@LASYAMUSIC 9 лет назад
Thanks for the video! It was very helpful :)
@learnifyable
@learnifyable 8 лет назад
+Srish ti I'm glad to hear that it helped!
@darrenbesas9684
@darrenbesas9684 3 года назад
Thanks a lot hehe. This is very helpful 💪
@rogueterror
@rogueterror 6 лет назад
amazing, thank you fror this
@niastrachan985
@niastrachan985 Год назад
Thank you!
@chinedusamuel7950
@chinedusamuel7950 3 года назад
Very clear... Thank u sir
@tithibose281
@tithibose281 2 года назад
Very good 🤠
@JaniceReid
@JaniceReid 5 лет назад
THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!
@aljojose7478
@aljojose7478 Год назад
Nice class🥂
@orangeleon7
@orangeleon7 6 лет назад
thank you for this video lol amazing
@bonfacemusango6326
@bonfacemusango6326 4 года назад
awesome tutor
@user-zh1ly7mo9m
@user-zh1ly7mo9m 4 года назад
Thank you very mach for this explanation
@Bemath_kh
@Bemath_kh 4 года назад
More videos please, so quiet from you!♥️♥️✍🏿✍🏿🙏🙏
@diyadas6436
@diyadas6436 8 лет назад
helped a lot, thank U so much....but please upload the videos of the theorems too...specially cyclic group and all these..
@learnifyable
@learnifyable 8 лет назад
+Diya Das I'm glad to hear that you liked the video. I do plan on adding more videos in the future.
@teachyourself3677
@teachyourself3677 2 года назад
Please which book are you using for the abstract algebra or you will recommend a book for me on abstract algebra.
@jahedikhan2134
@jahedikhan2134 Год назад
Thanks You So Much
@foodiesonsafari6341
@foodiesonsafari6341 6 лет назад
Sir how do you write the group table of s3..plz help
@jeweljochan
@jeweljochan 3 года назад
Thank You Sir 😊
@sunmijung5099
@sunmijung5099 7 лет назад
how can you get group table of S3?
@mariamathews3362
@mariamathews3362 2 года назад
Thanks a lot
@skyzhangty1
@skyzhangty1 5 лет назад
How do you generate the integer group by applying addition to 1? You will only get all positive integers
@vismayak5709
@vismayak5709 5 лет назад
Thanku sir😊
@MathSta_Sam
@MathSta_Sam 4 года назад
Very nice explanation, but can u please explain how you got the Carley table for the set S3....am confused there
@stapleman007
@stapleman007 2 года назад
See previous video in series "Symmetries of Equilateral Triangle"
@irenielmoko
@irenielmoko 5 лет назад
Thanks.
@chunkylover5367
@chunkylover5367 7 лет назад
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)..
@EREN-lj3jt
@EREN-lj3jt Год назад
Can you find multiplicative modulo on Z20
@jimbanks5401
@jimbanks5401 7 месяцев назад
My king
@learnifyable
@learnifyable 7 месяцев назад
Awwww thank you!
@Harikrishnan-mo7tm
@Harikrishnan-mo7tm 5 лет назад
thankyou ..subscribed
@dhanalakshmim4495
@dhanalakshmim4495 5 лет назад
sir what is the definition of cyclic in nilpotent transformation? please explain sir it's my kind request 🙏🙏
@thomasthomas3373
@thomasthomas3373 4 года назад
Thank you sir
@hussnainali2764
@hussnainali2764 4 года назад
amazing explanation so easy to grasp .thanks
@appleapple1763
@appleapple1763 7 лет назад
How did you get s3
@sindhumahe9655
@sindhumahe9655 5 лет назад
If modulo 7 under multiplication pls solve this prblm sir.its too important pls sir
@Subbu_-
@Subbu_- 7 лет назад
what about Z30,Z50,.....ETC.
@lemyul
@lemyul 4 года назад
what do you mean you're back from where you started? you didn't start at zero tho
@Hope-cw3dk
@Hope-cw3dk 2 года назад
Thankkkkkkkssss
@chaimaagarfaoui8106
@chaimaagarfaoui8106 2 года назад
danke
@ivankristoffergamilla5948
@ivankristoffergamilla5948 Год назад
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.
@sazankochar1954
@sazankochar1954 3 года назад
give an example of cyclic quotien gruop
@DJJOHN92
@DJJOHN92 3 года назад
first part of the video: yes next part of the video: help
@raducumihaicristian
@raducumihaicristian 8 лет назад
Dosen't this proof work only if the binary opertion is multiplicatin?
@learnifyable
@learnifyable 8 лет назад
+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.
@Pentazoid111
@Pentazoid111 3 года назад
Is this PatrickMJT?
@sartajmuzafer9636
@sartajmuzafer9636 2 года назад
❣️❣️❣️❣️
@neetudeshwal1612
@neetudeshwal1612 6 лет назад
Ap msc k liye padhate ho kya
@darla6706
@darla6706 5 лет назад
Sir please help me in this type of question. Find all subgroups of Z 2013
@mtahiriqbal3613
@mtahiriqbal3613 3 года назад
All divisor of this number are subgroup
@TurboWindex
@TurboWindex 4 года назад
4, 2, 0
@ToanPham-wr7xe
@ToanPham-wr7xe 2 месяца назад
😮
@CORBYGLASSES123
@CORBYGLASSES123 4 года назад
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!?????
@jackedunicorn6166
@jackedunicorn6166 4 года назад
Ha, you said Mewtwo, and also Learnifyable much lol
@savitasharma4872
@savitasharma4872 5 лет назад
Hindi translation me cahiye sir ji please
@stapleman007
@stapleman007 2 года назад
To all those who wonder where S3 came from ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-DO_pHSZ12nU.html
@andrewworkman5041
@andrewworkman5041 2 года назад
CovidImages need to be invested more than half19