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number of elements of order 10 in cyclic group z50 iit jam 2021 group theory
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Massachusetts Institute of Technology (MIT), United States, Harvard University, Stanford University, University of Cambridge, United Kingdom, University of Oxford, University of California, Berkeley (UCB), Princeton University, ETH Zurich (Swiss Federal Institute of Technology), Switzerland, University of California, Los Angeles (UCLA), New York University (NYU)
Group Theory: Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphism, and basic concepts of quotient groups.
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0:00 How to find order of an element in cyclic group zn?
0:20 properties of zn?
0:40 interger modulo n?
title number of elements of order 10 in cyclic group z50 iit jam 2021 group theory
Jam MA 2021, 6 • number of elements of ...
Hi Jam MA 2021, 6 • Video
Hi Jam MA 2021, 6 (2) • Video
En Jam MA 2021, 6. • Video
En Jam MA 2021, 6 • number of elements of ...
En Jam MA 2021, 6 • number of elements of ...
En Jam MA 2021, 6 (1) • Video
En Jam MA 2021, 6 (2) • Video
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Key (c)
Thank u sir🙏
Most welcome
Sir, I've a question that elements of cyclic subgroup is multiple of euler tutiont function n of order n, so sir elements should be phi (10) =4, hence 2 times phi(10) =8. So I think answers should be b) & c), sir clarify my doubts? Thank you
Sir please make a video on finding of generatiors of Group
In this video, you can find the number of generators of a group. Video link is th-cam.com/video/KVRoN5ckQus/w-d-xo.html
@@SantoshiFamily Tq so much dear Sir.. But Sir is there any trick to find generator in an addion gp. Not only the no. Of generators but also the very particular generators of the group... Sir please help me please,.. It's found so much difficulty 😥.only you can solve our problems please Sir 😭😥
Generators of group of order n is " If p, q are prime factors of n then generators of group of order n is " n(1-1/p) (1-1/q)
@@mousuminayak4703 .. Generators kaise nikalti ha... Ma kashmir sai hoo.. Yai mujhe samaj nhinayai
@@arifahmadbhat9510 actually I can't explain it in comments section
Happy new year sir,,, OHM NAMAH BHAGABATE BASUDAI,,, OHM NAMAH SHIVAI 🙏🙏🧘♀️🌿🦚🦠🐀
Thanks
Nice video 👍
U 14 k aise nikalti ha
how many possible element order exist in z*17 and how many elements exist for each order???
In order 10 coprime no. Is 1,4,6,9,8 and ur write different why and how this and I couldn't understand...
You're wrong, coprime means gcd should be 1
1:18 how 5 10 is 4 what was that i didn't understand
its comes by Euler Phi function
@@SantoshiFamily okay i'll check
How to find which numbers have that order
5 ,15, 35 45 I think
Key c, English
Ans 5 hoga
why you didn't include 5 in the coprime list numbers?
Because 5 is not prime of 10
5×2=10
We have to include only prime no.s of 10 in phi(10)
This is addition group right.
right
Very hard to understand your explanation 😢
Thanks for your feedback
Kya keh rahy ho
PLEASE watch again
PLEASE watch again
But n=50 not 10
Phi n means phi (d) =phi(10)
Sir u 14 kaise nikalti ha
Cyclic groups
U(14) = {n : [n, 14]=1, n
Four elements are 5,15,35,45 having order 10,not 1,2,3,7 check it and correct
I have checked the question throughout but couldn't find any mistake. Here, we have not asked to element but asked number of elements. !! Please consider it
@@SantoshiFamily thanks,it my mistake,
We are thankful for your feedback
Adengane 5,15,35,45 varunnad??
but i think no.of elements is 5. ie, 5,15,25,35,45.can you clarify