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A group of order p^2 is abelian proof
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- เผยแพร่เมื่อ 9 พ.ค. 2021
- This is Maths Videos channel having details of all possible topics of maths in easy learning.
In this video you Will learn about two very important theorems of group theory
we Will learn to proof that a group of order prime Square is abelian
I have tried my best to clear concept for you. If you have any doubt you can ask me in comment section.
email id - mathsclasses87@gmail.com
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#Groupoforderp2isabelian
#groupoforderprimesquareisabelian
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Thank You Ma'am
So nice Dr.
Lk 3
I understand that Z is a subgroup of N(a), but how can we say that O(Z) < O(N(a))?
it might be possible that Z = N(a) and O(N(a)) = O(Z) but less than p².
Can you please comment on what I'm missing?.
nicely done maam ❤️👍..best
Mam i am soso impressed that how you made a topic which was headache for me few min ago a cake walk ......thanku so much ....mam i am requesting you please make video in which you cover hpu msc maths syllabus ....plz start form the theorem of conjugation and g set.......if run any sort of online tuition aur anything please tell me mam because i genuinely need a good teacher like you for my better future 🙏🙏🙏
Awesome class like it
Nice explanation ma'am thanks for help us
Thank you Ma'am. Very helpful video 🙏🙏🙏🙏🙏
very well explained
Thank you mam osm
Ma'am I have a question related to this.
If non abelian group G has order of cube of prime number P then prove that order of Z will be P.
Can we use same approach to prove that order of Z can't be square P because it will lead contradiction.?
(actually I am asking this because I have seen some solution where they have proved that order of Z can be square of P but then the group will become Abelian so we won't take it.)
Nice explanation
Thank you 🙏
how to prove that group of order of product of five square and seven square is abelian?
Hello mam today was our exam objective type can you please solve that? How can I send that paper
Thank u very much mam...
Many Thanks 😊....please share and subscribe
Thank you so much mam🙏
Many Thanks 😊
Thank u mam
Keep watching
Thank u mam❤
Keep watching
Is the converse true???
|Z(G)| = 1 can also be possible.... apne is case ka explanation thik nhi diya... abelian to prove krna hai na
As we know if G is a group of order p^n (n>0), where p is prime, then z(G) has a non trivial center. That's why |Z(G)|=1 not possible
Lkkhhss of likes fromn mee
Thanks ❤️
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Mam group of order 49 is what ? Abelian or cyclic
Abelian
Jarauri nhi ki abelian hi hoga,may be cyclic
Depending on group On Structure
Depending on group On Structure
There will be 2 non isomorphic abelian group one is Z7+Z7 and other I don't know . And there can be cyclic group also which is z49..
Group of oder 33cyclic Or not
??
Cyclic
th-cam.com/video/Y4COnxlR9Js/w-d-xo.html
You can refer to this video
Thank you so much mam😊
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