Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit
at 17:30 sir has mistaken a inverse ...there should be e exist in h and a exist in h than the multiplication for e and a inverse exist in h Just to help others ...because I was stucked there for a while ...best of luck
Haan sir kuch bhi samajh nhi aata aap simple language main explain Karo . Har person ka zaroori nhi basic clear ho. Aap sirf padh dete ho bataya bhi karein ki iska use kaise karein. Aur sir AAP atakte bhi bahut ho plz clear rakho apne aap
Thank you so much for your effort sir , but due to tiredness , explaination are kind of vague , i want to tell you that , you can make videos slowly but explaination can be more good from your side
Sir please complete this topics also sir. , cyclic groups, cosets, Lagrange's Theorem, normal subgroups, quotient groups, homomorphism of groups, basic isomorphism theorems, permutation groups, Cayley's theorem. Rings, subrings and ideals, homomorphisms of rings; Integral domains, principal ideal domains, Euclidean domains and unique factorization domains; Fields, quotient fields. Tq 😍
Sr u e mind blowing kia parhty hain ap apka teaching method bhtttttttttttttttttttttttttttt acha hai thanks alot bus asy hi vedios banty rahain many sary concepts apky lectures say hi clear kia hai
Sir exam jaldi hai so daily 1 to 2 video ki jarurat hai halaki yeh jante hai aap ham sab ke e bahut mehnat kar rahe hai iska ahsan ham jindagi bhar nahi bhulege thankyou very much 👍 👍👍👍 you are great sir great great great great Ghanyam Shukla
Theorem 1 (b) proves only the uniqueness of an inverse in a group while it requires to prove that inverse of a in H is the same as the inverse of a in G Though uniqueness of an inverse is enough of a proof since H is a subgroup of G so the elements of H are already in G but I think it should be specified as some may get confused
Hello sir Ur Efforts r priceless ❤ I am preparing from ur videos which I love the most 💞 thank you very much sir for being an Guide Angel for us 🥰 May Allah bless u 🤲💝
A necessary and sufficient conditions for non empty finite subset H of a group G (under the composition of multiplication) to be a subgroup is that must be closed with respect to multiplication " Sir ye question maine exam me ab belong to h se kiya hai or assosciative or cancellations law prove kiyan hai to questions theek hoga
Sr I am a IGNOU student and I am struggling a lot with your videos in some lecture I face that your are just reading what's written in your smart bord which makes me too much confuse in many topics
Let (H, .) be a subgroup of a Group (G, .) . Let N ={x/xε G, xHx-1 = H}. Show that (N, .) is a subgroup of (G, .). Sir, can u please answer this question
Let x€N be arbitrary. then xHx-¹= H => x-1xHx-1x=x-1Hx =>H= x-1Hx =>x-1H(x-1)-1=H €N Inverse exists for each element in N ....(1) Again let x ,y€N .then the condition holds Now xyH(xy)-1=x(yHy-1)x-1=xHx-1=H =>xy€N Ie closure holds...(.2) By 1 and 2 the result holds By the way it's normalizer of H in G
👍👍👍👍👍Thankyou very much sir you are great sir aapko hamari fikar hamse jyada hai 👍👍👍iska ahsan kaise ada karenge. sir aap smart board pe bahut achcha pada rahe hai Ghanshyam Shukla
Thanks for your comment, your appreciation always motivate us to do such kind work.
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Link to Abstract Algebra Playlist : bit.ly/2A70LUb
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Follwing Topics are also Available
1. Differential Calculus : bit.ly/2OTYXB0
2. Integral Calculus : bit.ly/34rLA1R
3. Differential Equation : bit.ly/37IOlO1
4. Partial Differential Equation : bit.ly/2OM5iyA
5. Complex Analysis : bit.ly/2OP8hGp
6. Numerical Analysis : bit.ly/2QYVQuy
7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9
8. Statistics & Probability : bit.ly/2DmOt7Z
9. Operation Research : bit.ly/2pYYRjp
10. Matrices (Linear Algebra) : bit.ly/2OOBSzO
11. Fourier Series : bit.ly/34u7iC9
12. Vector Calculus : bit.ly/2qICwXO
13. Theory Of Equation : bit.ly/2XU9y33
14. Special Function & Series Solution : bit.ly/2XRSU4l
15. Infinite Series : bit.ly/37K6gUI
16. Group Theory : bit.ly/3ieUze2
Please share it with your Friends
Thanks
Dr.Gajendra Purohit
You are great sir
Sir there is a big mistake i don't know which is the next video
Thank You Sir...You Help me a lot for understanding Theorem of Subgroup in a Better Way 😊😊
Sir plse upload cyclic group homomorphism and isomorphism....
Sir. Plz complete Ring theory as soon as possible🙊
at 17:30 sir has mistaken a inverse ...there should be e exist in h and a exist in h than the multiplication for e and a inverse exist in h
Just to help others ...because I was stucked there for a while ...best of luck
Thank you bro ✨
Sir aap bahut acha padhate hai but padhane se pehle ache nind le liya karenge to or badhiya lectures hoga aapka.....padha rhe hai or so bhi rhe hai
Haan sir kuch bhi samajh nhi aata aap simple language main explain Karo . Har person ka zaroori nhi basic clear ho. Aap sirf padh dete ho bataya bhi karein ki iska use kaise karein.
Aur sir AAP atakte bhi bahut ho plz clear rakho apne aap
Thank you sir exam hai abstract algebra ki video jaldi dal do please 🙏🙏🙏🙏maine dostoo se bhi channel subs karwa diya
Sir your teaching method is marvelous everything is getting inside my mind🙏🙏
thnk u sir so much
plz complete grop theory as soon as and then start ring theory
ur vdo very helpful to us
again thnk u sir
Onto the point and super clear. Eternally grateful.
Great sir. The way of teaching is just phenomenal
😂😂😂😂
Well done very good effort Allah bless you always
Allah bless you too
God bless Allah..
Ram bless you ❤️🇮🇳
@@ShivamKumar-bj6kr 😂
@@ShivamKumar-bj6kr Allah bless your god
Really Great SIR .......
everything is understanding
G P SIR
👍👍👍You are HERO of Mathematics 👍👍👍 you are great sir Thankyou very much 👍
At 17:31 at first e, a € H then by construction e.a^-1 € H => a^-1 € H
Yes
this comment needs to be highlighted. noob sir btw
🎉❤❤❤ a great teacher like you .... Whom every student needs in this life 😊
Sir ias math optional ke liye koi batch ho to please reply
Hii
My options is also mathematics
@@mathematics6993 mine to bfk
My optional is also mathematics
Hii selection huaa aap logo ka
Kya hua Bhai log
Thank you so much sir...sir mai aapka video dekhne se phle hi like kr deti hu
Teacher's are first than God, this theorem you have proved🙏
Hahaha 😂
Put God first then you'll never be last so you should think before you speak 😊
Most helpful video ever about groups... Great job sir👏👏👏Appreciate ur work🙂
Jakr bartan dho randi
Thank you so much sir ❣️❣️🙏🏻
And this board is very helpful .ek side py notes or dusri side py ap smjha dety ho thats very good
Sir your teaching way is very good Allah bless you 👍
Sir aap bht badiya phdte ho
Bhut bdiya sir Bhut hi impreesive🤗
Thank you so much for your effort sir , but due to tiredness , explaination are kind of vague , i want to tell you that , you can make videos slowly but explaination can be more good from your side
Simply amazing sir 🙏❤️
A big big thank you 🙏🙏
Sir please iss series ko continue rkhiyega..
U r great sir tnks for such a good lectures
My best teacher sir apko dekh kr me ne maths shoro ki hy love from Pakistan🇵🇰❤🇮🇳
Nice explanation sir.
Thank you so much 🙏🏾🙏🏾🙏🏾
Sir please complete this topics also sir.
, cyclic groups, cosets, Lagrange's Theorem, normal subgroups, quotient
groups, homomorphism of groups, basic isomorphism theorems, permutation groups, Cayley's
theorem.
Rings, subrings and ideals, homomorphisms of rings; Integral domains, principal ideal domains,
Euclidean domains and unique factorization domains; Fields, quotient fields. Tq 😍
Thanks a lot sir
Please make a video on cyclic group
Sir please make videos on propositional and predicate logic 🙏
Do problems also sir ...Tq sir 😍
Sir aap bhut acha teach krwate ho .thanks alot.aaj mera exam hai .after exam main aap ki sebhi videos dekhugi.bulkul v boring nehi hai aap ki videos
Thanks a lot .........it is needeed....plz upload all videos of AlGEBRa....
It is great! Upload all the video within a week.
So i can move on with complex analysis.
Thanku so much sir🙏❣️
Thanks a lot sir for ur teaching mathod sir plz topology bhi kerva dho
Sir plz Real analysis PR bhi lecture upload kr do..
Your teaching method is brilliant and very helpful.
Such educational channels maintain the sanctity of you tube
Sr u e mind blowing kia parhty hain ap apka teaching method bhtttttttttttttttttttttttttttt acha hai thanks alot bus asy hi vedios banty rahain many sary concepts apky lectures say hi clear kia hai
Sir please complete group theory and ring theory ASAP...
describe become very fast.... so video concept gone ambigious
Sir exam jaldi hai so daily 1 to 2 video ki jarurat hai halaki yeh jante hai aap ham sab ke e bahut mehnat kar rahe hai iska ahsan ham jindagi bhar nahi bhulege thankyou very much 👍 👍👍👍 you are great sir great great great great Ghanyam Shukla
12:09 why a^m =e?
Thankyou so much sir your way of teaching is really best 👍👌👌 , keep this work🌠🌠
Hlw
Hwru
Amazing video. My all doupt are clear
Great Sir👍🏻your method of teachibg is soo easy and understandable 🤗🤗
Sir a lot of things are there which are not at all clear. You skip some parts
Sir Order of an element (Part -1)
Please upload this video.
Thnku soo much sir for h ef lpful video... 🌠😁❣️❣️👌
Sir plz upload videos on complete metric spaces
Sir, Which Book is good for group theory ?
Thank you so much sir you are the greatest teacher of mathematics ❤
Only reading krte ho sir aap to samjhate nhi ho
Hamare yha aisa hi hota hai😂😂
Sahi kaha
😂😂ye to wrong number hai
Nahi yaar aap ko ak baat pahle padna chahiye aur sir se exam time par revision karna chahiye
Higher mathematics padhana inke liye bhi kafi mushkil hai. Reading kafi aasaani padhti hai.😂
Thanks for video
Sir plzz upload theroms on order of group's element
Totally disappointed .... aap ko ye aati nahi hai sahj se bas slide padhe rahe hai aap ... baki mayne dushare topic dekha hai vo aache se padhte hai
Energized way of teaching
Thanks sir for helping us learning quite greatly
Thanku sir...or sir g complete group theory kerwana
Ghaint Sir g....lot of Love from Punjab
Sir vidio ka length badhaye group theory complete kare
Sir please also Make videos on graph & Tree
Theorem 1 (b) proves only the uniqueness of an inverse in a group while it requires to prove that inverse of a in H is the same as the inverse of a in G
Though uniqueness of an inverse is enough of a proof since H is a subgroup of G so the elements of H are already in G but I think it should be specified as some may get confused
Hello sir
Ur Efforts r priceless ❤
I am preparing from ur videos which I love the most 💞 thank you very much sir for being an Guide Angel for us 🥰 May Allah bless u 🤲💝
Sir Aapbahut achha padhate hai you are ALGEBRA the HERO
Sir.... please complete...ring...and all algebra...... exam start hone vala h🙏🙏🙏🙏🙏🙏🙏
Thanks a lot sir😊
U r great.
Hlw sir ols reply do we need to remember or practice proof for iit jam exam ??
Or only theorams are sufficient
Nice sir...
Superb sir, sir plz make videos on basic topology and general topology..😊
Nice explanation sir. 🙏🙏🙏🙏
Sir aap bhut Achha padhate hai.
Is the term " non void" is necessary in theorem 2 and 3?
Can these statements useful or not without "non void".
great sir ❤️ this video is very helpful
sir........non abelian group ka subgroup non -abelian hi hota h kya???
TH-cam pe jgada content na hone ki vjh se aapka bhi sahi chal ra hai. Koi agr dhang se btane lg jaye to dekhega b nhi koi aapki vdo
sir aap bahut accha padhate ho , but ager aap plzzz solve krke show karo toh jyda better hoga
Sir , 7:24 what is the meaning of 0 in the base of C and 8 in the base of Z?
C* will form a group under complex multiplication and z8 means integers from 0 to 7, which will form a group under addition modulo 8
@@biswajit6388 oohh thanks 👍
AOA
I am from pakistan.
Great Sir.
Zaberdast soooooooo nice teacher.....
thanks
Thanku so much sir your way of teaching is really best 👍
A necessary and sufficient conditions for non empty finite subset H of a group G (under the composition of multiplication) to be a subgroup is that must be closed with respect to multiplication "
Sir ye question maine exam me ab belong to h se kiya hai or assosciative or cancellations law prove kiyan hai to questions theek hoga
Thank you sir 🙏.. it's very helpful for me to persuing my MSc.
you are the real teacher ✌🏻
Sir aap bahut accha samjhate hain
Thanks a lot sir.....
Sr I am a IGNOU student and I am struggling a lot with your videos in some lecture I face that your are just reading what's written in your smart bord which makes me too much confuse in many topics
Agree
Kaash physics aur chemistry notes bhi koi teacher aise hi bana de(ppt form
Let (H, .) be a subgroup of a Group (G, .) . Let N ={x/xε G, xHx-1 = H}. Show that (N, .) is a
subgroup of (G, .).
Sir, can u please answer this question
Let x€N be arbitrary. then xHx-¹= H
=> x-1xHx-1x=x-1Hx
=>H= x-1Hx
=>x-1H(x-1)-1=H €N
Inverse exists for each element in N ....(1)
Again let x ,y€N .then the condition holds
Now xyH(xy)-1=x(yHy-1)x-1=xHx-1=H
=>xy€N
Ie closure holds...(.2)
By 1 and 2 the result holds
By the way it's normalizer of H in G
Let x, y belongs to N
xy^-1Hyx^-1= xHx^-1=H
So xy^-1belongs to N whenever x, y belongs to N(note that e belongs to N )
This is enough
Sir matrix types problems kis tarah solve kare. Please give me answer sir 🙏
👍👍👍👍👍Thankyou very much sir you are great sir aapko hamari fikar hamse jyada hai 👍👍👍iska ahsan kaise ada karenge. sir aap smart board pe bahut achcha pada rahe hai Ghanshyam Shukla
Sir mey apko channel subscribe kor Diya , because of apka tricks meyne Bohut posond Kortaa tha
Sir bhot achii class h
Thanks a lot Sr ji
Sir please make video on IIT jam all slybas
Specially for IIT jam
Thanks sir I am very interested in your chenal thanks very much