Cayley's theorem- (Complete Proof) - Homomorphism and Isomorphism- In Hindi - lesson 34

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Here in this video i will explain the complete proof of Cayley's theorem which is one of the very important Theorem of Homomorphism and Isomorphism
everything is explained in Hindi
welcome you all in my channel LEARN MATH EASILY
Link for this video is as follows:
This video will be very useful if you are student of Higher Classes in mathematics like B.Sc, M.Sc , Engineering and if you are preparing for UGC Net and iit Jam etc.
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Before this topic i did various other topics of Real Analysis:
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[@learnmatheasily]

Yaha at 4: 05 hum ax isliye likh rahe he kyunki hame group abelian nai de rakha he. Maine by mistake abelian ki jagah finite bola he , correct it.

[@azharkhan57]

Ma'm at 9:07 hm ny H ko A(G) ka subgroup show Krna hai to Def ya prof k mutabiq hm H ko show kr dain k jis binary operation(composition of mapping) k tehat A(G) group bn rha hai agr hm H ko bhi ussi binary operation(composition of mapping) ki madad sy group show kr dain then H is a subgroup of Group A(G) ya agr theorem aaply krain subgroup show Krny k lye to tb hm H sy 2 mappings lain gy & agr ek mapping & dosri mapping ka inverse ka product agr dobara H main belong kry then hm tb bhi keh skty Hain k H is a subgroup of A(G).....so ma'm kehny ka mean ye hai k subgroup show Krny k lye hm ussi subset H sy elemants lain gy na k A(G) sy.....so plz ma'm clear my doubt

[@learnmatheasily]

Wo same binary composition jo ki group ka he

[@ashwinirao7307]

Every group is isomorphic to a subgroup of a group of permutations... Mam this is same as statement of cayley's u said

[@ranarakeshsaikia5455]

Ma'am , Correspondence theorem or Fourth Isomorphism theorem explain ...please

[@learnmatheasily]

Please tell me ststement

[@ranarakeshsaikia5455]

@@learnmatheasily If N is a normal subgroup of a group G, then there exists a bijection from the set of all subgroups of G containing N , onto the set of all subgroups of the quotient group G|N.

[@ranarakeshsaikia5455]

@@learnmatheasily Ma'am , Khanna & bhambri book Mae theorem mil jayega ( Theorem 13 page no 118 ) ..and Surjeet Singh kae Modern algebra Mae bhi hae..plz explain kar do jaldi se Maam

[@learnmatheasily]

I did that check playlist, although I did not name it as fourth theorem of isomorphism

[@saikatmalla7390]

mem... to show H is subgroup... we need to take Fa and Fb form A(G) or from H...... I was little bit confused....

[@learnmatheasily]

Mention time of the video

[@saikatmalla7390]

mem at 10 minute 23 seconds.....

[@learnmatheasily]

A (G)

[@saikatmalla7390]

mem why....... for checking H to be subgroup, we need to take the element from H na......

[@utmanfacts5057]

Kindly ap mujy yay bataaa dein k yay ap nay kon c books say proof kiya hy. May nay is method ko follow kiya hy sir nay khaa hay k yay kis book say kiya hy soo kindly mujy book say pic lay kr email kr dein

[@learnmatheasily]

I did this topic long back and followed so many books so i am sorry but i dont remenber that. One more thing , ask your teacher if there is anything wrong with this ?? Because no one can deduct your marks in India if your proof or answer is correct, agar aap khud se bhi koi proof likhte ho or agar wo mathematically correct he to bhi teacher marks dea.

[@utmanfacts5057]

@@learnmatheasily acutely sir nay khaa hay k mujy yay proof laa k do jidr say ap nay kiya hy. Uno nay marks roky huy hien 😥

[@utmanfacts5057]

@@learnmatheasily mujy ap kaa method acha laga tha meny exam may b yahi use kiya

[@learnmatheasily]

@@utmanfacts5057 aap unko pucho ki proof me galti bataye

[@learnmatheasily]

@@utmanfacts5057 u r from which university ??

[@ritudhiman432]

Niceee

[@ranjitkumaryadav2898]

Man aapka video bahut helpful hai.aap group theory bsc part 3 ka video bataiye.jai hind

[@learnmatheasily]

Which topic,?

[@ranjitkumaryadav2898]

Simplex method in LPP

[@hasanur2755]

Madam please ring start koro

[@learnmatheasily]

Group complete hotel hi ring

[@ritudhiman432]

Maam

[@learnmatheasily]

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[@utmanfacts5057]

Kindly ap mujy yay bataaa dein k yay ap nay kon c books say proof kiya hy. May nay is method ko follow kiya hy sir nay khaa hay k yay kis book say kiya hy soo kindly mujy book say pic lay kr email kr dein

[@NirajSinha008]

Khanna and bhambri ka hai..