Group Theory | Cyclic Group | Properties Of Cyclic Group | Discrete Mathematics

[@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

[@Itz_sampritii]

Sir please make a series for iit-jam.... Topic wise🙏

[@prafulkapil4334]

Sir why (R,+)isn,t cyclic group (R,+) is a group and can be generated as x1 where x belongs to Z

[@InfiniteSin]

symbol of therefore and since are interchanged in this video. Please see theorem 5.

[@akashrtf8309]

Thank you soo much sir😍😍😍😍😍

[@alvirafatima2179]

Lovvv you sir huge respect for you 🙏🙏🙏🙏🙏🙏🙏😊😊😊😊🙏

[@shain9619]

Ye Wala Episode Mere Upar Se Nikal Gya 🤔🥱

[@indsaubbi8235]

After long research for bsc studies I found u sir really clear and easy way of teaching not all can do this sir thank you❤️🙏

[@adksongs1524]

Mujhe 3rd therom mai ,when m>n mai kuch samajh nhi saya

[@Maths_Magic_]

@@adksongs1524 are m>n hoga to m/n krne par kuch remainder bachega and let it be r so m=nq+r acc. to division algorithm

[@MP-se5pu]

@@adksongs1524 ak baar aur dekh Bhai aur dhyaan se sun aur dekh

[@RohitSingh-tm2dj]

@@adksongs1524 sir v ache se samjhate to na...ab' m' khn se aya ye to btya hi nhi

[@tulangsodimha8699]

I don't think so

[@rahulnamanverma4445]

ye lecture sach me inn topics ko easy banata hai SACH ME DHANYAWAAD SIR JI

[@rahulprasad.shorts]

Kindly don't hurry in some critical stage👍 that will be very helpful to us

[@jatinranpariya1510]

Right

[@Khanmate]

Don't disrespect if you can't do respect,, He is best sir/ teacher i had ever seen in my life 🧬🧬

[@masidurrahman9917]

After watching almost 10 channels I got the best here. Really u r very good sir...

[@akankshasoumitra6056]

Same here

[@zaidnadeem4918]

Exactly

[@sneha_bhatt]

You are the best reader in the world🏆

[@thevisuals123]

Teacher hoga yaar 😂

[@Aagye_Yahan_Bhi]

fail hogya,😢

[@KoshurMathematician]

😅​@@Aagye_Yahan_Bhi

[@lakshmandhal3051]

Thank you very much for such an effort.. I am an Assistant Professor of Physics in degree College. Sometimes I find your lectures useful when preparing notes on Mathematical Physics........

[@powerranger5109]

Sir mere jaise insaan ko maths samjha diya aapna Hat's off to you sir

[@gurjeetsingh9326]

Very good teaching sir. Jay hind 🇮🇳 Smart board me he padhai ye ismay jada clear samaj aata hi,and time bhi save hota hi

[@alvirafatima2179]

Sir you are so good bs aapki kdr nhi kr rhe hai log aapke subscribers millions me hone chahiye keep it up .Never give up . thnks a lot my favourite sir on utube 🙏🙏🙏🙏🙏🙏😊😊😊😊🙏🙏🙏🙏🙏🙏🙏🙏

[@aayushningwal6631]

Sir please thoda aur samjhaya kijiye , esa lgta h aap pd rhe h samjha nhi rhe 🥺

[@hacker_9301]

🤩

[@DHIRAJKUMAR_diary_ek_yaad]

math is not about reading the slide and solution , but explaining of why and how is more important.

[@rahulnamanverma4445]

JAI GORISHANKAR JI JAI SIYARAM JI😍

[@sandhyapatel220]

Sr aap bhut accha padhate h sr hume only aap ki vedio samjh me aati h god bless you sr........👌👌👌👌👌👌

[@aazanumer8644]

Yaar kya understanding ha hattsoff. I must say kya baat kay baat ❤❤❤❤❤❤❤

[@factsshortshindi]

Sir aapne theorem 3 ko bahut achhe se read kiya hai ❤, please agli baar thoda samjha bhi dijiyega

[@minakshipandey4542]

You are the best teacher for the Upper level competition preparation.... helped me a lot thank you sir

[@khushbuyadav4306]

Sir it is really really helpful for me , ab dec me mere exams h 2nd year k and y bhut hlpful h mere liye m very hpy ki ke jldi hi apna syllabus khtm krlugi , and thnq very muchh sir , u r great🙏🙏🇮

[@Raghav78332]

Apka youtube chalane meri liye bahut helpful ho rha hai love you Sir 🙏🙏🙏🙏🙏

[@manishpala4860]

B. Sc math best educator. well explanation. Thanks

[@Lazy4220]

Maja hi aagaya ❤

[@JAYJATAV0118]

Sir very best video ever on you tube for maths

[@a.avlogs7842]

Very good work sir God bless u keep it up A lot of love from punjab Pakistan

[@virhaher9394]

Sir your way of teaching is good

[@aashishgupta7496]

बहुत अच्छा पढ़ाये है गुरु g ❤❤

[@sakshi2868]

Sir your explanation is so easy and quick. Thank you sir ❤

[@dineshkumarmaganlal3540]

Guru dev aap mahan hai

[@sonamkumari4170]

thanks sir aap aise hi bsc ka Sara chepter ka lecture pdha dijiye sir🙏

[@shyamojha3351]

Kisi ko fast lg rha h sir ka padhana ? .....

[@tonystark-ng4jg]

Sir in the proof that every cyclic group is an abelian ( 4:40 ), why do we use multiplication as the operation and in multiplication we can directly say that it follows commutative. Can you give the proof with a general operation.

[@MathsMentorVishal]

See my channel brother

[@coco_latte]

Your videos are incridible sir

[@soubhagyaranjanprusty6953]

Best Mathematics lecture in KZbin. ..Thank you sir. .keep clearing more and more doubt of us. ..

[@atanunayak6637]

1. 8:50 Theorm 3 and its colliery 2. 13:20 Theorm 4 3. Theorm 5

[@rajudhungana6539]

Thank you sir , I am watching your all videos which are very helpful.

[@MohanLal-ug2qk]

thnk u so much sir vdo thoda jldi jldi upload kiya kro q ki exam aane hi wale hain aapki vdo hmare liye bahut jyada he helpful hain

[@pranjaljain7069]

Thankyou so much sir I am searching for this since 3 month

[@pikuboruah9038]

Thanks sir for providing vast with little amount of time This reading help me lot to understand with required period of time Sir is enough for our exam .... Sir plz uploaded exam point view questions

[@rajnath9653]

you are great sir, I literally saw your 30+ videos in different section of course .

[@kaka387]

Sir ya screen per bilkul sahi hy achi smaj a rhi hy

[@aasifmujtabah]

❤️❤️❤️...VERY EASY TO UNDERSTAND SIR...THANK YOU SO MUCH SIR

[@Bhushanhud]

Sir , 3rd theorem mein humko G ke n elements distinct hai ye bhi show karna padega na

[@wakeelzaman7287]

Excellent 👍

[@mohdriyaz1060]

Awesome and very nice video Sir 👌👌👌😃😃😃👍👍👍

[@poojayadav1483]

After watching almost 10 channel I got best here...sir ji

[@sumanihagjatti3501]

Hii sis..

[@tanushasharma8763]

For maths you and bhagwan sir are best

[@__amaira8454]

sir,your technique of teaching is awesome👍 .....i always prefer your videos for my preparation of mathematics exam..thnkuu soo much sir .

[@worldofmathematics2841]

Sir plzz group theory k is question pr Sunday tk ek vedio lec bna dyn plz Monday ko presentation Hy. Q: 9. Let X E G and let a, b E z+. (a) Prove that x^a+b = x^ax^b and (x^a)^b= x^ab. (b) Prove that (x^a)^-1 = x^-1 (c) Establish part (a) for arbitrary integers a and b (positive, negative or zero). Plzz sir it's a humble request

[@ThakursBoy]

Adbhoot 🔥

[@gopalbhagat9528]

Sir please make a videos on permutation group AND Also boolean algebra and its identities And Graph theory pr bhi video banaiye

[@radhakumari1979]

Sir u r best teacher ..

[@sauravmajumdar5443]

My concept now clear Thank you very much🤗

[@aamanhussain7594]

Sir i am your.....super ....sai .b upper ..fan huuu ...my favourite sir ...love you from Kashmir

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Whenever I click on GP sir video, first of all my hands automatically goes to Like Video .. Because I know sir's video is always helpful.

[@shubhamvishwakarmav8890]

You are best 👍 Thankyou sir

[@AkGautam_1904]

Sir your way of teaching is awesome .you are helping us a lot. Thank you sir .🙏👍👍

[@ankitnautiyal3679]

Saandaar sir it is very very useful for me

[@infotvwithmuhmmadimran6027]

Best explain sir g👍😘

[@sujitkumarmeher4958]

Very nice video sir amazing 😍😍😍

[@bhattacharyya_sanai]

Your teaching is great sir, I haven't found such a teacher as you in my university 🙏🙏

[@divyabundel8033]

Sir your videos is very helpful for me

[@hriturajkhatarkar9019]

Sir u are really a good teacher and I also watched your bsc first year maths but before u teach is more clear for me as compare now.......

[@hunzadar5937]

I salute you sir u solve my a lot of problems

[@Lazy4220]

U r a vry gud teacher sir❤

[@AnshuKumar-sb9ph]

Sir exam me v aise hi dekh ke likhna he kya...kab kon sa rule lagega pta hi nhi chal rha he...

[@sanjaymittal4031]

Sir plz upload videos on extreme problem with constraints

[@suvankarpaul7483]

Love u sir ❤ ❤

[@gamingplatform1635]

Nice content sir 🙏🙏

[@taymurahmed5294]

Thank u very much sir, and continue classes with smart board.

[@dristivas]

Sir in theorem 5 There is a inequality which says m>0 and -m>0 how can this be possible, isn't that be -m

[@venezuela2528]

Same doubt

[@rajnish-e-khyal6606]

Bahut badiya hai sir

[@samaygurjar5764]

Sir bsc 1st year ki district mathematics jldi jldi krwado exam h 14 ko or uske bad 3d geometry and optimization theory b krwa dena Calculas krwa chuke aap thank you sir 🙏

[@ex-w1b]

Keep it up Sir ji 👍🏻👍🏻👍🏻👍🏻👍🏻 🙏🙏🙏🙏🙏

[@yashrohilla6236]

Sir, can't tell how much are your videos helping.. Respect and thank you sir

[@MissDOLLY4321]

Thank you so much sir for sharing 🙏🙏🙏🙏🙏

[@G.T828]

in converse 12:30 you didn't prove that the group is cyclic, o(H) = o(G) doesn't prove that

[@sneha_bhatt]

It would have been great if you had rather explained certain things via explanation than just translating them into hindi 🙂🙃

[@shwetachhachhia3377]

Sir, You're teaching the best way possible. Please don't bother to change, it's great this way. Thankyou for your efforts.

[@anikdhali6152]

thanks u sir. From Bangladesh.

[@durganandjha6879]

Superb explanation by you.....thank you sir..🤘🤘🤘🤘

[@shreyaghosh7378]

Sir theorem no 3 ka case 1 kuch samajh mai nehi aa rakhi hai.... m

[@shreyaghosh7378]

Sir plz reply kardo... Bahat doubt ho rahi hai....

[@anchalkumari5121]

Thank you so much sir ☺️ you teach very well. My all doubts are clear 👍

[@taruntingal308]

Very good 👍 video

[@syedsazidhossainrezvi6224]

You got Bangladeshi fans sir

[@AnujMaurya]

Thankyou so much sir for this type of content. Sir kisi cyclic group ka subgroup kaise find out karte hai... ??

[@ranasingh8913]

Sir ,how -m>0 if m>0. Both can't be true at the same time.

[@sattendas2699]

Printing mistec

[@KomalKumari-we3ne]

Thanku so much sir, u videos help me a lott 🙏🙏

[@ankitnautiyal3679]

Thankyou very much sir😘😘

[@snehalamolchaudhari719]

How to show D3 is an example of a non cyclic group whose proper subgroups are cyclic?

[@creator_of_tohana]

Sir, your content is amazing 💯💯💯💥💥💥💥💥👌👌

[@GhimryGovinda]

Sir, your tutorials are awesome. is it possible for you to do the series in engineering mathematics II and Discrete mathematics logics?

[@realmathematicscentre9854]

Very nice Sir 👍

[@nervcvda6146]

In theorem 5 In proving H is generated by a^m there Should be mentioned that m is not equal to 1 or -1

[@MuhammadKamran-u5r]

a cyclic group of order n is generated by??

[@babansahani9286]

Really Gooooooooooood explain sir thanku so much

[@ANILKUMAR-px6pk]

Sir permutation group ,class equation , Sylow theorem Kai regarding teach Kar do plz

[@MathsMentorVishal]

Post graduation ka mai upload krunga

[@MuhammadAslam-cw5mj]

Very knowledgeable lectures

[@short_motivation350]

❤ tnx sir It was helpful ❤

[@anujingle1260]

Best teaching