Groups of units modulo n||Un group in group theory || Group theory
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- Опубліковано 10 жов 2024
- In this video we will see groups of units under multiplication modulo n. Some of the elements of group of integers under addition modulo n has a multiplicative inverse, these elements are units in (Z ,+n). The most beautiful thing is that the set of all these units forms a multiplicative group under multiplication modulo n.
In this video we will learn all the facts about Un group.
#csirnet #ungroup #grouptheory #shorttricks #groupsandrings #subgroups #groupofunits
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#groupsofunits #Units #Grouptheory #drupasanapahujataneja #groups #shorttricks #csirnet #subgroups #grouptheory #groupofunitsmodulon #groupofunitsmodn #ungroup
Great sharing, I always watch your videos fully.
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7like... Nice information dear 👌
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Very helpful vedio dear friend ❤️👍 ... love it
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Mujhy bilkul bii smjh nii thii phly
But apka lecture. Leny k baad sb clear ho gya
Thanks mam for this help
Thank you 🙏
very nice explaination, alwys.
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गुरुदेवी प्रणाम today I learnt alot of things about cayley table and abelian Thank you so much teacher
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@@dr.upasanapahujataneja1707 already done teacher with your blessings I shall strive to learn more and deeper
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Nice teaching, Mom. Good work and thank you.
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@@gregoriussudaryono260 mom 😂
2nd like. Wonderful video! Very useful and informative for the students.
Excellent
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Keep watching
16 lk
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like8
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Nice explanation mam, I'm really impressed...
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Thnx mam for good explanation
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Thanks for your excellent explanation.🙂
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Ma'am your method of teaching is awesome 😎
Very helpful
Thank you mam your video is very helpful 😊
Thanks for the great explanation mam.I wasn't able to understand the topic from my book.Now,I can able to do some questions based on this topics without any issues.
Ur method is very Good. plz confrm one thing interval for x in mathematically defined set u(n)
Amazing
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healpful
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Thanks
1:27 correction: 1
Yes
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mam you wrote there 1
Thankyou ma'am, nicely e. But I have a doubt, this proof is for s specific integer U(8) .can we generalise by only proving U(8) that U(n) is an abelian group?
Thank you....U(8) is an example..try taking other numbers.
@@dr.upasanapahujataneja1707
Ok ma'am.
So , we can prove complete U(n) by simply taking 1 or 2 examples?
In this video i just gave some examples of this result😊
Thank u mam
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First lk first view
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Mam I think this is my best class
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@@dr.upasanapahujataneja1707 yes mam! I will share it also
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@@dr.upasanapahujataneja1707 mam aap kis university me padhati ho !
Nice mam .. modern algebra ka notes . For csir net/jrf ..... provide kra dijiye
Thank you ma'am 💚💚
Thank you Ma'am 🙏
Nyc mam
plz answer this
The smallest odd order for a non abelian group is :
a)9 b)15
c)21 d) 23
21
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Nice 👌Happy New year 💐
Thanks ma'am
Good explanation... Mam...
thank u mam.
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Thank you very much mam!! 😊😊
Thanks 😊
Ok man I got it, X should be greater or equal to 1
Hii, ma'am 🙏
Iitjam mathematics ka course bhi karwa dijiye pta nahi kisi help ho jaye 🙏❤🙏
In new group theory playlist covering all topics
@@dr.upasanapahujataneja1707 baki ke topics kese cover kare ma'am 🙏
@@dr.upasanapahujataneja1707 kya ma'am aap iitjam mathematics ka syllabus complete karwayenge 🙏
Thanks mam
Ma'am U(n) ka defination me o jo 1
1
U(n) set me to mam 1 nahi ayega by definition
Tq mam
Mam iss mai hum u(6) or u(10) ku nhi liya n to hum koi b integer lai sakhte hai.....mam please ye doubt aap clr kardai....
Yes....you can take any integer. 6 and 10 also..
If you have any other doubt you can ask here😊
Okay mam but... Mai nai ek result pada us k mutabik n prime no. Hona chahiye.....mam u(n) under multiplication modulo n he hota hai na
No....aap koi b integer le sakte ho....In many Videos i have taken u(12)
@@dr.upasanapahujataneja1707 thank you so much mam... Actually i am doing preparation for msc enterence...... Due to lockdown totally depend on u tube........ Ur Vedios are very helpful .. Rise and shine mam
Hi ma'am.....do u have any govt job plz tell me... great 👍😊 video...the biggest like
Many Thanks dear....nopes...
Mam according to defination in U(8) , U(9) , 1 is present or not
1 is present
1
1less than or equal to x less than n
mam you said in the definition of u(n) group that X should be greater than 1, but then you are including 1 also 🙄
1
Mam U(1) kya hoga
Mam ..order 2 imply self inverse bt self inverse doesn't imply order 2 e.g identity element...
Other than identity If any element is self invertible then its order is 2
@@dr.upasanapahujataneja1707 ok mam.....tq
@@dr.upasanapahujataneja1707 mam govt. Math lecture kese bane , Or after msc from iit how to become a govt lec ..uske uper ek vdo banadijiega plzzzz....
Sure
Madam,x is grater than '1' and less than or equal to 'n' then how U(8) contains 1?
1
Ok madam, thank you 😊
U(n) ki element " 1 " kaise hoga? Jab x>1 hai!!???
U(n) = {x|1
Mam.. 1
Yes..that I wrote in earlier comments also:)
Thank you
Ma'm with due respect!!! U(9) has not all every element self-invertible. Infact only identity element is self invertible.
Multiplecation modulo kese bahar kre mam plz reply and ess video nhi milrhi he
ua-cam.com/video/2dWYMHzv8rk/v-deo.html
aapne 1 ko include nhi kiya hai fir bhi 1 element hai iska?
Please correct this 1 is included in definition
Mem U(n) k liye kar dijiye please
Kya
Did not get you
Please explain your problem
Mam un mai x>1 hai to then 1 include kyon kiya hai set likhte time
x >=1 aayga definition me
U(n) = {x|1
Thanks mam
Dear main aapko friend banaya hai ummid Karti hun ki aap abhi mujhe pakka wapas karungi
Good morning ma ,please ma in your next video please I don't really understand what you saying, please ma I speak English
U(5) cyclic hoga
Mam modolo padda do
ua-cam.com/video/YBFF8z8Qayg/v-deo.html
ua-cam.com/video/0vOkM96xPJ0/v-deo.html
ua-cam.com/video/2dWYMHzv8rk/v-deo.html
1 less than equal hoga
Yes
Earlier also I mentioned in one comment 🙏
Thank you mam
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Thank u maam
Thanks....please subscribe
Good morning ma ,please ma in your next video please I don't really understand what you saying, please ma I speak English