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!
Wish I had found this sooner than the day before my finals.
Is (z20,×) group? Please give me answer.
Very clear and precise. Great job!
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.
I was very confused and this video saved me, thanks!
Thank you very much sir,I learned that part very easily with your video.thank you ❤️❤️❤️
Thank you so much for this. You saved me a lot of trouble
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 u so much I totally understand that....by ur lecture... Thank u
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!
Sir how do you write the group table of s3..plz help
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 so much ,understood very easily ....tqqq sir
Very good explanation 👍
Thanks For this explanation .I love it
Love the video!
Please which book are you using for the abstract algebra or you will recommend a book for me on abstract algebra.
Thank you u saved my life
I sincerely want to thank you... /Bow. Seriously!
Very clear... Thank u sir
how can you get group table of S3?
Thanks a lot hehe. This is very helpful 💪
This is amazing
How do you generate the integer group by applying addition to 1? You will only get all positive integers
sir what is the definition of cyclic in nilpotent transformation? please explain sir it's my kind request 🙏🙏
Nice class🥂
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)..
Thanks mate this really helped
Thanks for the video! It was very helpful :)
+Srish ti I'm glad to hear that it helped!
Very good 🤠
Can you find multiplicative modulo on Z20
More videos please, so quiet from you!♥️♥️✍🏿✍🏿🙏🙏
Thank you very mach for this explanation
thank you for this video lol amazing
amazing, thank you fror this
awesome tutor
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!
THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!
amazing explanation so easy to grasp .thanks
Thanku sir😊
thankyou ..subscribed
If modulo 7 under multiplication pls solve this prblm sir.its too important pls sir
Thank You Sir 😊
Thanks You So Much
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.
Thank you sir
Ap msc k liye padhate ho kya
what do you mean you're back from where you started? you didn't start at zero tho
what about Z30,Z50,.....ETC.
Thanks a lot
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.
My king
Awwww thank you!
Sir please help me in this type of question.
Find all subgroups of Z 2013
All divisor of this number are subgroup
Thanks.
give an example of cyclic quotien gruop
Is this PatrickMJT?
danke
Thankkkkkkkssss
first part of the video: yes
next part of the video: help
❣️❣️❣️❣️
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!?????
4, 2, 0
Hindi translation me cahiye sir ji please
Ha, you said Mewtwo, and also Learnifyable much lol
😮
To all those who wonder where S3 came from
ruclips.net/video/DO_pHSZ12nU/видео.html
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