Group Theory | Automorphism | Automorphism Examples & Theorems | Abstract Algebra

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  • Опубліковано 27 жов 2024

КОМЕНТАРІ • 124

  • @gajendrapurohit
    @gajendrapurohit  4 роки тому +13

    Thanks for your comment, your appreciation always motivate us to do such kind work.
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    • @Blankpaper_openbook
      @Blankpaper_openbook Рік тому

      Sir, jab one one k baat Kar rahe the 3:48 par, toh apne bola domain( x1, x2) codomain(x'1, x'2) Mein domain k dono element codomain k x'2 Mein join ho gaye. But we know that In one to one or injective we can't have many to one. Isn't it?

  • @ishikasharma6864
    @ishikasharma6864 10 місяців тому +10

    It was a time when i possessed keen interest in mathematics but now i feel that opting maths in graduation is my biggest flex 😢
    Its all on the basis of assumptions and theories...
    Missing the conceptual and calculating factor in maths now

    • @simransaini4248
      @simransaini4248 10 місяців тому +5

      Yeah same dude :( I'm also feeling low.

    • @yuckertv2701
      @yuckertv2701 9 місяців тому +4

      It is called "PURE MATHEMATICS" for a reason 😅

    • @Mr.Robot.Markonie
      @Mr.Robot.Markonie 8 місяців тому +2

      12 maths 🫡
      Bsc maths🤢💀

    • @evizgamer
      @evizgamer 12 днів тому

      Its just about teachers, In schools teachers used to teach everything and every questions thoroughly but in most colleges and universities teachers doesn't pay much attention towards students. They just complete their lecture without any concern about students whether they understand anything or not.

  • @sumanverma864
    @sumanverma864 3 роки тому +2

    Sir apke videos se mujhe kafi help mili h.... Ap content bhi provide karte ho..... Thanks a lot

  • @gauravbohra6460
    @gauravbohra6460 3 роки тому +3

    i am grateful to you sir .........concepts are getting clear day by day after watching your videos ...thank you very much sir....

  • @biharboardscience
    @biharboardscience 4 роки тому +4

    Thanks a million !!! Sir
    For English Language Suitable.
    👌👌👌👌👌👌👌👌👌👌👌👌

  • @The_Pi_Piper
    @The_Pi_Piper 4 роки тому +2

    Sir I have one question....
    Automorphism of Dn is isomorphic to which group ??
    (Here Dn is dihedral group).
    I have only idea of its order.... Order of Aut(Dn) is n × phi(n).

  • @chowdhurysadekanazrin2041
    @chowdhurysadekanazrin2041 Рік тому +1

    Sir thank you for your outstanding explanation

    • @physics-field1729
      @physics-field1729 Рік тому

      Me vi video upload karta hu please play list me ja kar video watch Karo uske sathe me ekdam starting se upload kar Raha hu 3 lecture ho geya he please dekho Jo na samja aye please comment Karo me comment ka reply dunga

  • @AbhinavKumar-yr6lp
    @AbhinavKumar-yr6lp 4 роки тому +1

    Thanks sir. Wait krna pada but final aa hi gyi

  • @Aziz_acadmy_7
    @Aziz_acadmy_7 2 роки тому +1

    Thanks Sir I understand this topic very well .....

  • @grradharadha4001
    @grradharadha4001 4 роки тому +2

    Thank you sir for good teaching🙏🙏🙏

  • @khadijashahbaz5159
    @khadijashahbaz5159 4 роки тому +4

    Thanks a lot sir❣

  • @Shivakshi-ze2jq
    @Shivakshi-ze2jq 3 роки тому +1

    Thank you so much sir

  • @veersingh5662
    @veersingh5662 2 роки тому

    Best vdo for revision.

  • @kartikdwivedi8073
    @kartikdwivedi8073 3 роки тому +4

    Tq sir . Your content is really helpful 💜💜

  • @entertainmentforall6656
    @entertainmentforall6656 4 роки тому +1

    Sir in Topic pr video bnaye
    Green function and Transform Method
    1 Expansion of Green function
    2 Transform Method
    3 Closed form Green function
    Perturbation Techniques
    1 Perturbation method for algebraic equation
    2 Perturbation method for Differential equations
    Variational Methods
    1 Euler Lagrange equation
    2 Integrand involving one,two three and n variables .
    3 Special cases of Euler Lagrange equation
    4 Necessary conditions for existence of an ectremum of an functional.
    5 Constrained maximum and minima.

  • @SawitriDevi
    @SawitriDevi 4 місяці тому

    Thanks Sir 👍🏻👍🏻

  • @harshruhela7321
    @harshruhela7321 3 роки тому +1

    Thank you Sir

  • @anjumfatima8550
    @anjumfatima8550 2 роки тому +2

    The set In(G) of all inner automarphism of a group G is a normal subgroup of atu(G)

  • @abubakerjutt5052
    @abubakerjutt5052 Рік тому

    Thank u Sir ....but sir inner automorphism pr b ak detaild video upload kryn shukriya

  • @samarthbadar7752
    @samarthbadar7752 4 роки тому +2

    Sir plz make a video on transformation and permutation groups.🙏

  • @mdlelim4234
    @mdlelim4234 4 роки тому +1

    Wonderful sir

  • @RP-gx7ds
    @RP-gx7ds 4 роки тому +1

    Thanku sir very helpfull Content.....

  • @225__anukwary5
    @225__anukwary5 10 місяців тому

    Ur not like earlier anymore sir
    You were like very energetic teacher but now u teach very casual..

  • @UttamKumar-jz8oj
    @UttamKumar-jz8oj 3 роки тому +1

    Please sir yah sab Topics Covere keejiye
    inner automorphism, automorphism groups, automorphism groups of finite and
    infinite cyclic groups, applications of factor groups to automorphism groups, Characteristic
    subgroups, Commutator subgroup and its properties. (3 questions)
    UNIT - II
    Properties of external direct products, the group of units modulo n as an external direct product,
    internal direct products, Fundamental Theorem of finite abelian groups. (2 questions)
    UNIT - III
    Class equation and consequences, conjugacy in Sn, p-groups, Sylow’s 1st , 2nd and 3rd theorems.
    (2 questions

  • @teerthendra
    @teerthendra 3 місяці тому

    Sir i have a question, homomorphism prove krte par jb hum (x1x2)^-1 ko kholte h toh x2^-1 pehle kyu aata hai or x1^-1 bad me ??

  • @chandansingingstage2028
    @chandansingingstage2028 3 роки тому +2

    Sir inner automorphism banki hi rh gya aur kuchh special topic in group theory ex- conjugate , normalizer, center of group, Sylow theorem,

  • @nishaagrawal7311
    @nishaagrawal7311 4 роки тому

    Sir please statistics per aur video upload kijiye mujhe apki sari video samajh me aati h please sir

  • @user-bm9fl2fj9j
    @user-bm9fl2fj9j 3 роки тому +1

    Sir we want a video on properties of isomorphism

  • @pramodprajapati9556
    @pramodprajapati9556 3 роки тому

    Thanks sr ji

  • @Myself__Rahul_2001
    @Myself__Rahul_2001 2 роки тому

    Sir please make Videos on Direct Product of Groups 🙏🙏

  • @raj0442
    @raj0442 2 роки тому +1

    Thank you very much sir. Your videos are very helpful 🙏😊

  • @scholar-mj3om
    @scholar-mj3om Рік тому

    Marvelous💯💯

  • @aashishgupta7496
    @aashishgupta7496 Рік тому

    Thnx❤

  • @chandankumargupta8174
    @chandankumargupta8174 2 роки тому +1

    Sir upload a video on " abelianizing of a group And its universal property "
    My exam is on 6th January2022

  • @creativestudy2020
    @creativestudy2020 Рік тому

    thanku so much sir this video is very helpful 🙏🙏🙏🙏🙏🙏

  • @Ms_khatrifromhills
    @Ms_khatrifromhills 4 роки тому +29

    Sir the last theorem you didn't explain it well 😔

  • @mohdriyaz1060
    @mohdriyaz1060 4 роки тому

    Awesome and very nice video Sir

  • @AakankshaYouthsPower
    @AakankshaYouthsPower 4 роки тому

    Very nice lacture sir

  • @bishambuthyal56
    @bishambuthyal56 2 роки тому

    Thanku very much sir ❤️

  • @tamilactorsstatus9503
    @tamilactorsstatus9503 3 роки тому +1

    Nice 👍👍👍👍

  • @bushrahabib3391
    @bushrahabib3391 2 роки тому

    Sir is there any lecture on centralizer and normalizer ?

  • @yuvrajvaish1836
    @yuvrajvaish1836 2 роки тому +1

    Let G be a group of integers under addition. Is the map f:G→G defined by f(x) = 2x, an automorphism of G?

    • @ayushkumarsingh2537
      @ayushkumarsingh2537 3 місяці тому +1

      I think that it is not an automorphism. Because f(x) is not onto in this question.

  • @mathsloversjn3453
    @mathsloversjn3453 3 роки тому

    V nice explain sir

  • @Aziz_acadmy_7
    @Aziz_acadmy_7 2 роки тому

    Respected sir : kindly share the endomorph ism topic ...

  • @ankitgoyal4415
    @ankitgoyal4415 4 роки тому +1

    Wronskian equ p vido bnae

  • @geepaspas3221
    @geepaspas3221 4 роки тому +3

    sir , in the example 1 how do we understand it is to prove automorphism?

  • @Zpathan-fo8ym
    @Zpathan-fo8ym 2 роки тому

    Sir differential geometry and manifold ke playlist bana diye. Pls

  • @poojamangla871
    @poojamangla871 3 роки тому

    Sir complex analysis vale math prr bhi video uploaded krdo

  • @rameshchpanda5690
    @rameshchpanda5690 4 роки тому

    Sir app kaunshi book se padhate ho.

  • @himanibagri7217
    @himanibagri7217 3 роки тому +1

    Sir , what is meaning of onto itself and into itself

  • @faizsiraj2489
    @faizsiraj2489 3 роки тому

    sir please upload lecture on conjugate subgroup,commutator subgroup

  • @Zpathan-fo8ym
    @Zpathan-fo8ym 2 роки тому

    Thanx sir

  • @sachinjaiswal4600
    @sachinjaiswal4600 Рік тому

    Sir ji main theorem are skiping you in this chapter so I request u pls explain this theorem because that's important points of exam

  • @kumkumkundu5324
    @kumkumkundu5324 2 роки тому

    Sir inner automorphism video nehi hai kya??

  • @kumkumkundu5324
    @kumkumkundu5324 2 роки тому

    Please sir upload inner automorphism video

  • @bismayprakashlenka8655
    @bismayprakashlenka8655 2 роки тому +1

    Why should we take gof sir on 12.07 minute

  • @dumeshmeher9291
    @dumeshmeher9291 3 роки тому

    Nice 😊😊

  • @Aizal8080
    @Aizal8080 2 роки тому +1

    sir in following groups
    a) V4,
    b) (R,+)
    c) Zn
    d) U(n)
    e) Dn,
    f) Sn
    g) An
    h) Gl(n,F)
    i) Q8
    j) group of order 15
    j) group of order 25,
    Sir inky normal, automorphism and characteristics subgroups kaise find kr sakty hain short tricks se

  • @Blankpaper_openbook
    @Blankpaper_openbook Рік тому

    Sir, jab one one ki baat Kar rahe the 3:48 par, toh apne bola domain( x1, x2) codomain(x'1, x'2) Mein domain k dono element codomain k x'2 Mein join ho gaye. But we know that In one to one or injective we can't have many to one. Isn't it?

    • @physics-field1729
      @physics-field1729 Рік тому

      Me vi video upload karta hu please play list me ja kar video watch Karo uske sathe me ekdam starting se upload kar Raha hu 3 lecture ho geya he please dekho Jo na samja aye please comment Karo me comment ka reply dunga

    • @ayushkumarsingh2537
      @ayushkumarsingh2537 2 місяці тому +1

      Iska mean x1 and x2 two different elements na hokar 1 hi hai. Isliye hi one-one proof karne ke liye pehale f(x1)=f(x2) let karte hai and baad me ye dikhate hai ki x1 and x2 different nhi h balki x1=x2 hai. Isliye inki image same thi.

  • @muditshukla6780
    @muditshukla6780 4 роки тому +1

    Sir how to integrate e^x^3 with limits 0 to 1

  • @RahulMishra-xe9xm
    @RahulMishra-xe9xm 4 роки тому

    Mst sir ji love you

  • @akhilmallah9858
    @akhilmallah9858 2 роки тому

    Sir msc pre ke liye abstract alzebra ke chapter ke bara me bataiye

  • @Chiraggupta_3005
    @Chiraggupta_3005 7 місяців тому

    sir, How can I get the content pdf for revising?

  • @Leotornato
    @Leotornato 4 роки тому

    Centre of group bta dijiye gurudev

  • @dwimaitreeswain4754
    @dwimaitreeswain4754 2 роки тому

    Plz sir Group action video share

  • @nidanaaz7541
    @nidanaaz7541 4 роки тому

    Sir paper kbse start hoge BSC k m student of MJPRU University

  • @waytowardssuccess207
    @waytowardssuccess207 4 роки тому +1

    Sir thora slow samjhaye apki speed zyada h

  • @vivekkumarjha9511
    @vivekkumarjha9511 4 роки тому

    Plzzzz upload permutation group

  • @yoyo-pd1by
    @yoyo-pd1by Рік тому +2

    You speak very fastly...

    • @physics-field1729
      @physics-field1729 Рік тому +1

      Me vi video upload karta hu please play list me ja kar video watch Karo uske sathe me ekdam starting se upload kar Raha hu 3 lecture ho geya he please dekho Jo na samja aye please comment Karo me comment ka reply dunga

  • @shreyas_n_life
    @shreyas_n_life 2 роки тому

    Where is Inner- external Automorphism sir?

  • @laveenalaveena6150
    @laveenalaveena6150 3 роки тому

    In exam if they asked if G is an abelian group of o(n) were n is greater than two ST G has an element autom which is an inner automorphism den wat we hv write

  • @sumanverma864
    @sumanverma864 3 роки тому +1

    14:38 smjh ni aya

  • @Leotornato
    @Leotornato 4 роки тому

    Centre of group

  • @anjumfatima8550
    @anjumfatima8550 2 роки тому

    Sir meri ek question haa

  • @arjunsinha8359
    @arjunsinha8359 Рік тому

    Sir kisi group ka aut G kaise find krte hain?

    • @physics-field1729
      @physics-field1729 Рік тому

      Me vi video upload karta hu please play list me ja kar video watch Karo uske sathe me ekdam starting se upload kar Raha hu 3 lecture ho geya he please dekho Jo na samja aye please comment Karo me comment ka reply dunga
      Meine apka prblem update kya he kal Tak video ajayega

    • @arjunsinha8359
      @arjunsinha8359 Рік тому

      @@physics-field1729 ok

    • @physics-field1729
      @physics-field1729 Рік тому

      Tum comment karte rehne me upload karta rahunga

  • @ratneshsoni4431
    @ratneshsoni4431 4 роки тому +1

    Sir 12:05 pe gof wala concept clear ni hua

    • @ayushkumarsingh2537
      @ayushkumarsingh2537 2 місяці тому +1

      Agar two functions one-one and onto hai to unka composition bhi one-one and onto hota hai, aur ye sir closure property dikhane ke liye kar rhe hai.

  • @yogendrasinghnaruka4152
    @yogendrasinghnaruka4152 4 роки тому

    Sir abhi bhi group theory ke questions solve nhi ho rhe h

    • @yogendrasinghnaruka4152
      @yogendrasinghnaruka4152 4 роки тому

      Saari videos dekhne or samjhne ke baad bhi

    • @hemlatasharma6078
      @hemlatasharma6078 2 роки тому

      Bhai yh hi haal hai.....mera bhi , jo yh kra rhe hai wo previous year ya assign m hai hi nhi.....

  • @nidanaaz7541
    @nidanaaz7541 4 роки тому

    M 2 comment

  • @abhishekmisra9375
    @abhishekmisra9375 4 роки тому

    🙏🙏

  • @attaulmustafa4283
    @attaulmustafa4283 3 роки тому

    Outer and inner automorphism bhi beta dn

  • @shwetagautam3126
    @shwetagautam3126 4 роки тому +1

    Go slow sir

  • @SS40519
    @SS40519 4 роки тому

    Sir speak very quickly

  • @anosjahan280
    @anosjahan280 4 роки тому

    Somebody please tell me the automorphism of z7 please please it's urgent

  • @karansher9762
    @karansher9762 4 роки тому

    sir thoda slow bola karo

  • @santoshpinjari7
    @santoshpinjari7 4 роки тому

    ✌✌✌✌

  • @anjumfatima8550
    @anjumfatima8550 2 роки тому

    Confuse

  • @rupalimohanty9920
    @rupalimohanty9920 Рік тому

    𝓣𝓺𝓼

  • @coolmind2476
    @coolmind2476 3 роки тому

    Please don't publish video with English titles if you don't talk in English. Its a scam.

  • @muskansaini2342
    @muskansaini2342 Рік тому

    Sir in this chapters or in this Book there are so so so many theorem we understand them how we can learn all the theorem at the same time..... They all are like a little hard to learn 🥲🥲🥲

  • @bapin5887
    @bapin5887 3 роки тому +1

    Thank you so much sir

  • @malayarana4397
    @malayarana4397 3 роки тому +1

    Thank you sir

  • @raj0442
    @raj0442 2 роки тому

    Thank you very much sir. Your videos are very helpful 🙏😊

  • @43-nidhipandey81
    @43-nidhipandey81 3 роки тому

    Thank you...sir🙏

  • @Leotornato
    @Leotornato 4 роки тому

    Centre of group

  • @charitylyngdoh8912
    @charitylyngdoh8912 4 роки тому +1

    Thank You soo much Sir🙏🙏

  • @arnavlearningandgamingchan7630
    @arnavlearningandgamingchan7630 4 місяці тому

    Thankyou sir 🌺😊

  • @mamtatripathi6876
    @mamtatripathi6876 3 роки тому +1

    Thanks sir 🙏

  • @prabhabhatt4541
    @prabhabhatt4541 3 роки тому

    Thank you sir ji

  • @mantashaahmed6478
    @mantashaahmed6478 2 роки тому

    Thanks 😊

  • @NRUSINGHAPRASADMAHAPATRA
    @NRUSINGHAPRASADMAHAPATRA 3 роки тому

    Thanks sir 😊🙏🙏