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Every group of prime order is Cyclic
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- เผยแพร่เมื่อ 7 พ.ค. 2021
- This is Maths Videos channel having details of all possible topics of maths in easy learning.
In this video
we Will learn to proof that every group of prime order is Cyclic.
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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Many Thanks for watching
#everygroupofprimeorderiscyclic
open set
• Open sets
supremum and infimum
• Supremum and infimum r...
upper bound and lower bound
• Upper bound and lower ...
Group definition • Definition of a group ...
Cyclic group
• Group theory part 6-Cy...
Subgroups
• Group theory part 3-Su...
One step subgroup test
• Group theory part 4-on...
Two step subgroup test
• Group theory part 5-Tw...
Order of a group and order of an element
• Group theory part 2-Or...
Permutation Group
• Permutation Groups || ...
Function domain and Range
• Function domain and r...
concept of 1-1 onto and bijective mapping
• one one onto function
Difference between Range and codomain
• Difference between Ran...
Relation function domain codomain range and image
• Relation: Image, Range...
HOMOMORPHISM
• Group theory part 8-Gr...
Isomorphism
• Group theory part 9-Gr...
normal subgroups
• Normal Subgroups
first theorem of homomorphism
• Group theory part 11- ...
cosets
• Group theory part 12-C...
Quotient groups
• Group theory part 13- ...
sylow p subgroup
• Sylow P subgroup
sylow theorems
• Group theory part 14- ...
group of order 56 is not simple
• Group of order 56 is n...
direct Product of groups
• Direct Product of groups
Ring theory Abstract Algebra
• Ring theory Abstract A...
examples of rings
• Ring examples Abstract...
units in ring theory
• Units in ring theory
associate in ring theory
• Associates in ring theory
division rings
• Division ring
ring with zero divisors
• Ring with zero divisors
integral domain
• Integral domain Abstra...
kernel of homomorphism
• kernel of homomorphism...
prime and maximal ideals
• Prime and maximal ideals
prime and irreducible element
• Prime and irreducible ...
cartesian Product of two Sets
• Cartesian Product of t...
partition of a set
• Partition of a set| Pa...
relations mathematics
• Relations Mathematics|...
equivalence classes
• Equivalence classes|| ...
construction of zn
• Zn group theory || Gro...
euler's phi function
• Euler's phi function| ... 7
zn is a group under addition modulo n
• Zn is a group under ad...
Quotient set in group theory
• Quotient set in group ...
zn is Cyclic
• Zn is Cyclic?
zn is a ring
• Zn is a ring proof
internal direct Product
• Internal Direct Product
Great explanation always respect from.pakistan big talent in big india
Thank you 🙏
Most important topic❤❤
7 nice beautiful sharing 👌👍
Mam hmari book me 15 line ki theory likhi hui thi par aapne bahut ache se explain kiya mam aap playlist bna dijiye for 4sem bsc please
This is the best explanation of this question I got to know after going through several channels. Thanks ma'am. You are a gem
Such an amazing explanation 🙏❤
Glad you think so!
Thanks my dear madam ap ke waja sy hamary math axy ho rahy hy
If order of G = order of H, then it does not automatically means G=H. Please explain the last part.
❤❤❤🙏🙏🙏
Thank You so much, Mam. This helped a lot.🥰
Thank you ❤️ super explanation 👌
Thank you so much mam.
Nice explain mam..
Nice
Crystal clear explanation
Nice explanation ma'am thanks for help us
Nice explanation madam thanks
India great h mam
Mam ap ka explanation style is assume 😇
I give you advice ap short video pa important bsc topic discussion kara 60 second par or any competition exam math shorrttrix @mam ap ka chennal grow hoo jia ga 🕵
Thnx
Thank you mam nice explanation❤❤
Mam what was your PhD thesis
thank you mam
Thanks ☺️
Good explanation love 💘from Pakistan 🇵🇰👍😀👏👌😄🇵🇰
Many Thanks 😊🙏
Thanks madam 😀
3:48
Mam H=(a) Ye Cyclic Subgroup kaise ho jayega?!
Mam, apase Contact kaise karu? Group Theory me mujhe bahut dobut hai, Khaskar Order of Group and it's element me.
Telegram par apako message karane ka option hi nahi aa raha hai.
Mam at 4:17, if g belongs to G, and g≠e,
then is the subset of g kaise hoga.Dono ka binary operation alag alag bhi to ho sakta h?
Subset generated by an element have to be a subset otherwise group does not satisfy its properties and that subset satisfies the properties w.r.t operation of group and hence it forms a subgroup
Madam tell me about dihedral group please
Thank you so much mam for this video🙏🙏
Love from India❤❤
Keep watching
We want real analysis also
Thank you😊..
I have already uploaded many Videos on real Analysis.
That's great ...wo mujhe 4th sem mai hai ...this time iam in 3rd sem
Mam it easy to prove that every group of prime order is cyclic, but how to prove that every abelian group of prime order is cyclic?
As we know that every abelian group is not Cyclic but every prime order group is Cyclic so if a group is abelian and it's order is prime it will be Cyclic.
@@dr.upasanapahujataneja1707 yes mam you are right in your mind but the given theorem is that prove that every abelian group of prime order is cyclic,, now how to prove this ? My question is that
I don't understand 😭
use English please 😭