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 ;)
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
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!
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)..
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!?????
Straight to the point, clear and not abstract. Many thanks!
Very clear and precise. Great job!
Wish I had found this sooner than the day before my finals.
Is (z20,×) group? Please give me answer.
I just found this video 2 hours before my final exam. Saved my life hahha i finally understand cyclic groups
i have gone through many videos on generators and cyclic groups and this is the only one that was actually helpful
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!
I'm glad to hear that you liked the explanation.
Thank you so much for this. You saved me a lot of trouble
I was very confused and this video saved me, thanks!
Love the video!
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 ;)
+Brodie Roberts Thanks!
Thank you very much sir,I learned that part very easily with your video.thank you ❤️❤️❤️
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!
Thank u so much I totally understand that....by ur lecture... Thank u
Thanks For this explanation .I love it
This is amazing
Thanks mate this really helped
Sir how do you write the group table of s3..plz help
Thank you u saved my life
Thank you so much ,understood very easily ....tqqq sir
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
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!
Thank you!
I sincerely want to thank you... /Bow. Seriously!
how can you get group table of S3?
amazing, thank you fror this
Very good explanation 👍
Thanks a lot hehe. This is very helpful 💪
Please which book are you using for the abstract algebra or you will recommend a book for me on abstract algebra.
How do you generate the integer group by applying addition to 1? You will only get all positive integers
THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!
Thanks You So Much
Thanks for the video! It was very helpful :)
+Srish ti I'm glad to hear that it helped!
thank you for this video lol amazing
Thank you very mach for this explanation
Very clear... Thank u sir
Very good 🤠
Can you find multiplicative modulo on Z20
Thanks a lot
sir what is the definition of cyclic in nilpotent transformation? please explain sir it's my kind request 🙏🙏
More videos please, so quiet from you!♥️♥️✍🏿✍🏿🙏🙏
awesome tutor
Nice class🥂
helped a lot, thank U so much....but please upload the videos of the theorems too...specially cyclic group and all these..
+Diya Das I'm glad to hear that you liked the video. I do plan on adding more videos in the future.
Very nice explanation, but can u please explain how you got the Carley table for the set S3....am confused there
See previous video in series "Symmetries of Equilateral Triangle"
How did you get s3
Thank You Sir 😊
Thanku sir😊
thankyou ..subscribed
Thanks.
Thank you sir
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)..
My king
Awwww thank you!
what about Z30,Z50,.....ETC.
Thankkkkkkkssss
If modulo 7 under multiplication pls solve this prblm sir.its too important pls sir
amazing explanation so easy to grasp .thanks
Dosen't this proof work only if the binary opertion is multiplicatin?
+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.
danke
❣️❣️❣️❣️
what do you mean you're back from where you started? you didn't start at zero tho
Ap msc k liye padhate ho kya
give an example of cyclic quotien gruop
Sir please help me in this type of question.
Find all subgroups of Z 2013
All divisor of this number are subgroup
first part of the video: yes
next part of the video: help
Is this PatrickMJT?
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.
😮
4, 2, 0
Ha, you said Mewtwo, and also Learnifyable much lol
Hindi translation me cahiye sir ji please
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!?????
To all those who wonder where S3 came from
ua-cam.com/video/DO_pHSZ12nU/v-deo.html
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