Group Theory | Isomorphism | Examples of Isomorphism

[@gajendrapurohit]

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]

Sir your vedios are very helpful for us please keep continue

[@rahulnamanverma4445]

DHANYAWAAD GURUJI

[@ujjwalyadav8780]

Thanks sir u had covered approx complete algebra🔥🔥

[@mathlover9248]

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

[@pragathiyp5622]

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

[@riyakashyap3261]

Exactly

[@visheshyadav6190]

​@@riyakashyap3261 +1

[@missionDC]

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

[@tusharbagal2432]

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

[@RajeevPrajapati-e2x]

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 📚👍💯🔑

[@paridhisharma3896]

Thank you sir, it is very helpful for me

[@rajuverma4540]

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

[@jacksonmichael3481]

I saw this too.

[@tanjinaaktar1146]

Thanks for giving us most most clearly class

[@scholar-mj3om]

Marvelous💯💯

[@prashantsinghps2779]

apka content bahut helpful hai

[@gurubasavagurubasava5292]

Thank sir for the vedios on msc entrence exam parpose

[@MLNiharika]

We love you sir.

[@lol-ts6ne]

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

[@Manu-rm9uj]

itne chante bharoga

[@rakhisingh6441]

Sir u r the best👍👍👍🏆🏆🏆. Thank u sir🙂🙂

[@faizajavedgani8030]

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

[@AjayKumar-gr1mq]

Thanks for making videos of this topic 🙏

[@saniyamalik6718]

In 3rd example, hiw are the tables identical?

[@saurabhsuman7417]

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

[@Ankitkumar-tt2zz]

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???

[@manansharma7108]

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

[@jinalhere]

Confusion 🤧

[@manansharma7108]

@@jinalhere It's not an example of isomorphism🤘

[@rashmikumari5380]

Exactly

[@ayushkumarsingh2537]

Same doubt

[@mohammedfaheemmadhia2236]

Same doubt

[@gentlemen423]

Back to back lecture jai ho

[@Mridulmishra06]

V.nice explaination sir

[@manjupoonia7180]

Thank you so much sir your class very helpful

[@arnavlearningandgamingchan7630]

Thankyou sir 🌺😊

[@MuhammadAslam-cw5mj]

Love ❤️ dear sir

[@hsrada433]

Nice lecture!

[@zainabcheema4948]

Sr its amazing

[@thewarrior2123]

Your vedios are very helpful

[@anjaleemaurya1180]

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.

[@srijit009]

nice concept ❤️❤️

[@jyotisekharpanda9368]

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

[@chemphyianschool6727]

Thanks sir great

[@avichauhan6541]

Thank u so much sir 😊😊

[@Arkwith0]

आपका बहुत बहुत आभार सर 😍😍😍

[@rahulnamanverma4445]

JAI SIYARAM JAI HANUMAN JI

[@saurabhnarain144]

Pranaam guruji

[@arpandas8708]

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

[@MubashirKhan-ki5qo]

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

[@vikaskumartiwari5513]

Nice explanation ❤️❤️

[@deepakKumar-pb6pt]

Very nice Sir

[@bikrambose2783]

Thanks sir💖💖

[@mathsloversjn3453]

V nice explain sir

[@themathmotivor.]

Good sir keep up it Allah apko ajar dy

[@utkarsh_108]

ajar ky hota h bhai

[@themathmotivor.]

@@utkarsh_108 apko sumj nhi ani

[@utkarsh_108]

@@themathmotivor. chalo thik h fir

[@TechMarcell]

Thanks🙏🙇🙏💕 Sir

[@dipalichakrawarti6847]

Thanks sir!!!!

[@saipuja7989]

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]

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

[@dalitshiv834]

Sassy B+ich🐩🐕

[@akash4298]

Table 1,4,2,3 hoga

[@virenderendlliya1146]

Nice very nice sir

[@ramdhanichauhan3549]

Thanks you sir

[@ppp2330]

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

[@pranjal7348]

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

[@PriyanshuKumar-mt4zf]

video ka spelling ata ha

[@pranjal7348]

@@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

[@learnalways8213]

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

[@kailashcheudhery]

Thanks sir

[@geethaaliyangal5147]

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]

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]

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

[@sujitkumarmeher4958]

Sir example 3 (b) how table are identical

[@Rakeshkumar-jf4ty]

Humko bhi samjh nhi aaya...

[@ayushkumarsingh2537]

Same doubt

[@acousticm.j.8466]

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

[@hearthacker5565]

Ap sahi ho .. apka confusion genuine hae

[@mayank_singh_43]

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]

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

[@nileshyadav9173]

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

[@siddharthbagdearts4459]

thanku sir

[@raghavvarma6060]

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.

[@ayushkumarsingh2537]

eg 3(b)

[@pirooo6544]

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

[@sangeethagupta8985]

Sir upload video on ring , subring plzz

[@kumarpradeep6569]

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 .

[@alphaa23]

Sir please upload video on normalizer and centralizer

[@muhammadkashifshabbirahmed8361]

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

[@Rahul-vl1no]

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

[@kumarpradeep6569]

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].

[@SubrataGhanty]

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

[@pawanswami7656]

Nice Please solve ∇2r^nr=n(n+3)r^n-2r

[@pawan6373]

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

[@W__Edits]

love you from Pakistan

[@Rakeshkumar-jf4ty]

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

[@cvraman5908]

Well

[@sunny-uh3wg]

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

[@mohammednaeemlodhi8507]

Sir please upload permutation group also

[@jitendrasing3006]

Your explanation good but explaining fast

[@AbhishekMishra-kv1ih]

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

[@rohitraghav7699]

Sir, Riemann integration pe vedio kb aenge.

[@shradhashukla1562]

Sir please make on Fermat's theorem and eulers theorem

[@Leotornato]

Centre of group ka video bnaaiye

[@PinkMoonMHTV]

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

[@Mostokhokuwa]

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

[@penancepoint4589]

❤

[@AbrarAhmed-rs9zb]

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

[@Vector_Space_Iconic]

Nahi O(Z4)=4 but O(A4)=12

[@SHREEFACTSOFFICIAL]

😊😊

[@harisqureshi4792]

Sir please iit jam 2020 paper solve kijiye

[@sejaljain9053]

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

[@dineshkumar-pl3ix]

sir lekin ye kaise pata chalega ki mapping kya lenge

[@SiddlovesIT]

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

[@avijitbarman2047]

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

[@RajeevPrajapati-e2x]

Ok sir kal dekhuga ab time ho gaya .mera

[@rahulkrishnvanshi3836]

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

[@rinkigupta5749]

Sir multiple choice questions chahiye

[@theindoledge5833]

Centum le lo... Usme mil jayenge..

[@anuradhasaha7668]

OP SIR OP

[@shehzadrasool4863]

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

[@Crackinghack]

👌

[@ayaitchgaming]

8:20 why

[@abhishekmisra9375]

🙏🙏🙏

[@themathmotivor.]

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

[@theindoledge5833]

To Bhai speed slow kr lo na...

[@themathmotivor.]

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

[@Manu-rm9uj]

you engliss too bad

[@Manu-rm9uj]

abe bsdk