Group Theory | Isomorphism | Examples of Isomorphism

Поделиться
HTML-код
  • Опубликовано: 17 янв 2025

Комментарии • 185

  • @gajendrapurohit
    @gajendrapurohit  4 года назад +22

    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

    • @thewarrior2123
      @thewarrior2123 3 года назад +2

      Sir your vedios are very helpful for us please keep continue

  • @rahulnamanverma4445
    @rahulnamanverma4445 10 месяцев назад +4

    DHANYAWAAD GURUJI

  • @pragathiyp5622
    @pragathiyp5622 3 года назад +52

    fast as well as skipping things without explaining in a few examples

  • @missionDC
    @missionDC 4 года назад +13

    Thankyou sir... Please sir it's request to you complete the abstract algebra book because my exam is on 8 April... Your videos help me a lot

  • @saniyamalik6718
    @saniyamalik6718 Год назад +8

    In 3rd example, hiw are the tables identical?

    • @saurabhsuman7417
      @saurabhsuman7417 7 месяцев назад

      Tables are identical in the way that if you replace the respective mapping then you get the same table

  • @ujjwalyadav8780
    @ujjwalyadav8780 3 года назад +20

    Thanks sir u had covered approx complete algebra🔥🔥

  • @mathlover9248
    @mathlover9248 4 года назад +10

    sir I like u teaching... Really ur lectures r very much useful for me

  • @rajuverma4540
    @rajuverma4540 2 года назад +6

    14:18
    Sir according to the table you made the functions are not matching
    f(0) is not replacable by 1

  • @gurubasavagurubasava5292
    @gurubasavagurubasava5292 Год назад +2

    Thank sir for the vedios on msc entrence exam parpose

  • @scholar-mj3om
    @scholar-mj3om Год назад +1

    Marvelous💯💯

  • @manansharma7108
    @manansharma7108 3 года назад +7

    Sir example 3 (b) if we are replacing the numbers we are not getting the identical table .. so sir how it is isomorphism

  • @prashantsinghps2779
    @prashantsinghps2779 4 года назад +2

    apka content bahut helpful hai

  • @paridhisharma3896
    @paridhisharma3896 4 года назад +4

    Thank you sir, it is very helpful for me

  • @tanjinaaktar1146
    @tanjinaaktar1146 2 года назад +1

    Thanks for giving us most most clearly class

  • @tusharbagal2432
    @tusharbagal2432 4 года назад +3

    Very Helpful and Nice video. Your teaching is very good sir. Thank you so much

  • @Ankitkumar-tt2zz
    @Ankitkumar-tt2zz 2 года назад +4

    Thak you very much sir for providing such a well compiled content.can you bring a series of questions of IIT jam level with their solution with tricks???

  • @rahulnamanverma4445
    @rahulnamanverma4445 10 месяцев назад +1

    JAI SIYARAM JAI HANUMAN JI

  • @RajeevPrajapati-e2x
    @RajeevPrajapati-e2x Месяц назад

    Thank you sir very understandable explanation really sir mathematics is very interesting subject and scope of mathematics in upsc pcs ,net Gate and reasoning is very superior 📚👍💯🔑

  • @sujitkumarmeher4958
    @sujitkumarmeher4958 2 года назад +4

    Sir example 3 (b) how table are identical

  • @AjayKumar-gr1mq
    @AjayKumar-gr1mq 4 года назад +2

    Thanks for making videos of this topic 🙏

  • @gentlemen423
    @gentlemen423 4 года назад +2

    Back to back lecture jai ho

  • @pirooo6544
    @pirooo6544 Год назад +1

    ye example a,b,c me morphism morphism karta gaya pir example 1 me homomorphism??

  • @lol-ts6ne
    @lol-ts6ne 2 года назад +3

    Sir, literally..... Big fan of ur explanation... Keep it up... Thnqq sir

  • @faizajavedgani8030
    @faizajavedgani8030 4 года назад +1

    Sir solve this question
    Let m and n be positive integers such that m/n
    Prove that the map fhai:z/nz implies that z/mz sending fhai (a+nz)=a+mz for any a belong to z is a group isomorphism

  • @MLNiharika
    @MLNiharika 4 года назад +3

    We love you sir.

  • @saipuja7989
    @saipuja7989 4 года назад +2

    Sir, in 14:50 , hum kya likhe? , 1,2,3,4 ko replace karen ya 1,2,4,3 ko replace karein? Plz bataiye sir

    • @lonelyburger9069
      @lonelyburger9069 4 года назад

      Yeah.... 1 2 3 4 likh lo... Lkin agr 1 2 4 3b likh lo tw koi msla Nahiii

    • @dalitshiv834
      @dalitshiv834 3 года назад +1

      Sassy B+ich🐩🐕

    • @akash4298
      @akash4298 3 года назад

      Table 1,4,2,3 hoga

  • @rakhisingh6441
    @rakhisingh6441 4 года назад +1

    Sir u r the best👍👍👍🏆🏆🏆. Thank u sir🙂🙂

  • @pawan6373
    @pawan6373 Год назад +1

    Arre sir screen shot bhi lene diya kariye thora solve krke samne khade ho jate h phir turnt slid skip lr dete hai 🙄

  • @manjupoonia7180
    @manjupoonia7180 4 года назад +1

    Thank you so much sir your class very helpful

  • @Mridulmishra06
    @Mridulmishra06 6 месяцев назад

    V.nice explaination sir

  • @sunny-uh3wg
    @sunny-uh3wg 4 года назад +2

    sir...Real Analysis apki playlist me nahi mil rha hai. plz help me.

  • @arnavlearningandgamingchan7630
    @arnavlearningandgamingchan7630 7 месяцев назад

    Thankyou sir 🌺😊

  • @srijit009
    @srijit009 3 года назад +1

    nice concept ❤️❤️

  • @acousticm.j.8466
    @acousticm.j.8466 4 года назад +8

    sir example 2 thoda confusing raha starting kyunki aapne uski mapping question ki jagah answer me di🤔🤔🤔🤔🤔🤔🤔

    • @hearthacker5565
      @hearthacker5565 3 года назад +2

      Ap sahi ho .. apka confusion genuine hae

  • @arpandas8708
    @arpandas8708 3 года назад

    You are a excellent teacher sir but plzz try to talk slowly

  • @jyotisekharpanda9368
    @jyotisekharpanda9368 2 года назад

    It's very nice sir .your all videos are very helpful .. but your teaching way is little bit speed .

  • @Ommmmm03
    @Ommmmm03 Год назад

    आपका बहुत बहुत आभार सर 😍😍😍

  • @dineshkumar-pl3ix
    @dineshkumar-pl3ix Год назад +1

    sir lekin ye kaise pata chalega ki mapping kya lenge

  • @MuhammadAslam-cw5mj
    @MuhammadAslam-cw5mj 4 года назад +2

    Love ❤️ dear sir

  • @vikaskumartiwari5513
    @vikaskumartiwari5513 3 года назад

    Nice explanation ❤️❤️

  • @avichauhan6541
    @avichauhan6541 3 года назад

    Thank u so much sir 😊😊

  • @learnalways8213
    @learnalways8213 4 года назад +1

    Sir please tell how it is onto in R negative numbers are also there

  • @MubashirKhan-ki5qo
    @MubashirKhan-ki5qo 3 года назад +1

    Kindly make lecture on commutator subgroup. Theorem commutator subgroup is normal subgroup of G..

  • @nileshyadav9173
    @nileshyadav9173 4 года назад +2

    Sir can you aload the next video on isomorphic till evening becouse tomorrow will be exam

  • @chemphyianschool6727
    @chemphyianschool6727 4 года назад +1

    Thanks sir great

  • @hsrada433
    @hsrada433 4 года назад +2

    Nice lecture!

  • @ppp2330
    @ppp2330 3 года назад

    thanks a lot sir...can u slow a little bit...it might help more

  • @zainabcheema4948
    @zainabcheema4948 4 года назад

    Sr its amazing

  • @thewarrior2123
    @thewarrior2123 3 года назад +1

    Your vedios are very helpful

  • @themathmotivor.
    @themathmotivor. 4 года назад

    Good sir keep up it
    Allah apko ajar dy

  • @pranjal7348
    @pranjal7348 4 года назад +2

    Sir please upload vedio on permutation soon I have exam on Monday and 2 units with permutation also remain

    • @PriyanshuKumar-mt4zf
      @PriyanshuKumar-mt4zf 4 года назад +1

      video ka spelling ata ha

    • @pranjal7348
      @pranjal7348 4 года назад +1

      @@PriyanshuKumar-mt4zf dekh it's an educational channel otherwise the the reply will be just like that you will never ask someone for their spelling error

  • @rohitraghav7699
    @rohitraghav7699 4 года назад +1

    Sir, Riemann integration pe vedio kb aenge.

  • @deepakKumar-pb6pt
    @deepakKumar-pb6pt 4 года назад

    Very nice Sir

  • @raghavvarma6060
    @raghavvarma6060 8 месяцев назад

    Sir, eg 3 is not an insomorphism. f does not preserve composition. I have checked it multiple times. Please do check from your side and rectify the error if any.

  • @TechMarcell
    @TechMarcell 4 года назад

    Thanks🙏🙇🙏💕 Sir

  • @mathsloversjn3453
    @mathsloversjn3453 3 года назад

    V nice explain sir

  • @bikrambose2783
    @bikrambose2783 4 года назад

    Thanks sir💖💖

  • @mayank_singh_43
    @mayank_singh_43 2 года назад +1

    sir in example C at 6 min 50sec time , Negative numbers of R doesnot have it's pre-Image present in R+ , So how it became onto?

    • @jacksonmichael3481
      @jacksonmichael3481 Год назад +1

      e^x > 0 always. So for any +ve ans -ve values of x ie R, it produces only real numbers greater than 0.

  • @geethaaliyangal5147
    @geethaaliyangal5147 4 года назад +1

    thank you so much sir for the classes. in example C how is it becoming onto? logx is always positive , right ? so F(R+) contained only positive part right

    • @princeraj2750
      @princeraj2750 4 года назад +1

      log x can be negative as well as zero. eg.- log(1/2), log (0.4),etc.
      value of x in logx is always +ve.

    • @geethaaliyangal5147
      @geethaaliyangal5147 4 года назад +2

      @@princeraj2750 Thank you so much. I googled and found it. Iam restarting studying aftera long gap. So some points are lost

  • @sangeethagupta8985
    @sangeethagupta8985 4 года назад +1

    Sir upload video on ring , subring plzz

  • @sejaljain9053
    @sejaljain9053 7 месяцев назад

    example 3 m multiplication modulo ki table glt nhi h ky??????????

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty 2 года назад +1

    Example 3b m table 2 kaise form kiye ye samjh nhi aaya sir? 🤔 🤔 🤔 🤔

  • @saurabhnarain144
    @saurabhnarain144 3 года назад

    Pranaam guruji

  • @AbhishekMishra-kv1ih
    @AbhishekMishra-kv1ih 4 года назад +1

    Sir permutation wala topic jaldi dal doo 18 march ko paper haiii

  • @alphaa23
    @alphaa23 4 года назад

    Sir please upload video on normalizer and centralizer

  • @Rahul-vl1no
    @Rahul-vl1no 2 года назад +1

    Sir you did blunder in 2nd example...correct that...please show the right way to solve

  • @PinkMoonMHTV
    @PinkMoonMHTV 3 года назад +2

    Hi sir can i have a soft copy of your powerpoint? Thanks

  • @virenderendlliya1146
    @virenderendlliya1146 3 года назад

    Nice very nice sir

  • @ramdhanichauhan3549
    @ramdhanichauhan3549 3 года назад

    Thanks you sir

  • @Mostokhokuwa
    @Mostokhokuwa 2 года назад

    sir eample2 mein apne not equal dikhaya too wo one one kaise hwa? plz answer dijia

  • @dipalichakrawarti6847
    @dipalichakrawarti6847 2 года назад

    Thanks sir!!!!

  • @mohammednaeemlodhi8507
    @mohammednaeemlodhi8507 4 года назад

    Sir please upload permutation group also

  • @harisqureshi4792
    @harisqureshi4792 4 года назад +1

    Sir please iit jam 2020 paper solve kijiye

  • @Leotornato
    @Leotornato 4 года назад

    Centre of group ka video bnaaiye

  • @penancepoint4589
    @penancepoint4589 Год назад +1

  • @kailashcheudhery
    @kailashcheudhery 3 года назад

    Thanks sir

  • @anjaleemaurya1180
    @anjaleemaurya1180 3 года назад

    Abstract algebra is related to all videos very helpful.
    This video is matching of Allahabad University syllabus .In present time is all College teachers is not teach to perfect online classes. So sir is smart and easy language teaching for me very,..........,... helpful.

  • @rahulkrishnvanshi3836
    @rahulkrishnvanshi3836 3 года назад

    Sir ek book meisomorphism ke definition me into aur onto dono likhe h kyu?
    Only onto hota to into vaise bhi ho jata h dono likha h book me kyu?
    Sir isi ko explain kr dijiye

  • @SubrataGhanty
    @SubrataGhanty 3 года назад +1

    1:56
    Condition(1)
    Last m ∀a,b∈G hoga
    ...may be typing mistake 😊

  • @muhammadkashifshabbirahmed8361
    @muhammadkashifshabbirahmed8361 3 года назад

    You teach well sir along with your speed well😏
    Please teach us a bit slow🙄

  • @AbrarAhmed-rs9zb
    @AbrarAhmed-rs9zb 3 года назад

    Sir, is Z4 and A4 are isomorphism?? Plz help me,

  • @ummehabeeba5397
    @ummehabeeba5397 3 года назад

    Sir mapping kesy ly gy

  • @jitendrasing3006
    @jitendrasing3006 2 года назад

    Your explanation good but explaining fast

  • @pawanswami7656
    @pawanswami7656 4 года назад

    Nice
    Please solve ∇2r^nr=n(n+3)r^n-2r

  • @Tushar-fh6qz
    @Tushar-fh6qz 4 месяца назад

    permutation group ka question q dal dia... vo to baad me cover hoga

  • @siddharthbagdearts4459
    @siddharthbagdearts4459 4 года назад

    thanku sir

  • @kumarpradeep6569
    @kumarpradeep6569 2 года назад

    Also solve another problem sir.
    let f be a field of characteristic o. then prove that a polynomial f(x) belongs f(x) is solvable by radicals over f if and only if its splitting field k over f has solvable galois group g[k,f].

  • @kumarpradeep6569
    @kumarpradeep6569 2 года назад

    Sir please solve the following question it is very necessory.
    if ψ be an isomorphism of a field F1 onto a field F2 such that α ψ = α' for every α ∈ F1 then prove that there is an isomorphism ∅ of F1 [X] on to F2 [t] with the property α∅ = αψ = α' for each α ∈ F1. do something sir .

  • @shradhashukla1562
    @shradhashukla1562 3 года назад +1

    Sir please make on Fermat's theorem and eulers theorem

  • @cvraman5908
    @cvraman5908 4 года назад

    Well

  • @shehzadrasool4863
    @shehzadrasool4863 2 года назад

    Good but Sir jiiiiiiiiiiii what is this jesa k hmmm janty hen ye hota hy wo hota agr we know about this pehly c hi too yahan q aty?? Just slide too read na kia kren

  • @utkarsh3770
    @utkarsh3770 4 года назад +1

    Sir example 3 ka b part mein difference aa rhaa hai, aapne bas keh diya ki ho jaayega par ho nahi rhaa hai, please misguide na kariye, aur aapne uss table mein order bhi change kar diya hai jo nahi hota hai

  • @SHREEFACTSOFFICIAL
    @SHREEFACTSOFFICIAL 23 дня назад

    😊😊

  • @Manisha_Banker
    @Manisha_Banker 2 года назад

    Guruji 2 example me ek doubt h
    Real number bola h lekin e real nahi h
    Plzz ............

  • @SiddlovesIT
    @SiddlovesIT Год назад +2

    Are sir😂aram aram se padha lo palwal 😂 nhi nikalna h😅

  • @rinkigupta5749
    @rinkigupta5749 4 года назад

    Sir multiple choice questions chahiye

  • @avijitbarman2047
    @avijitbarman2047 4 года назад

    {0}×R isomorphic to R. How it's happened.

  • @themathmotivor.
    @themathmotivor. 4 года назад +1

    Sir one request
    You speak to much fast some concepts we don't understand ur fast speaking
    Plz deliver lecture in slow speed

    • @theindoledge5833
      @theindoledge5833 3 года назад

      To Bhai speed slow kr lo na...

    • @themathmotivor.
      @themathmotivor. 3 года назад

      @@theindoledge5833 ap meri behn kb sy hoi mery abu na ap ki ami sy merriage tu nhi ki ha

    • @Manu-rm9uj
      @Manu-rm9uj 2 года назад

      you engliss too bad

    • @Manu-rm9uj
      @Manu-rm9uj 2 года назад

      abe bsdk

  • @ayaitchgaming
    @ayaitchgaming 2 года назад

    8:20 why

  • @RajeevPrajapati-e2x
    @RajeevPrajapati-e2x Месяц назад

    Ok sir kal dekhuga ab time ho gaya .mera