All options are true in 2 as there is a theorem which says that:"An infinite group must admits a non trivial subgroup" So contrapositively if a group has no nontrivial subgroup then it must be finite hnce option (A) is true. Also option (C) true which can be proved. Once (C) is proved, (b) and (d) are true !! Either the question is wrongly framed or it must be MSQ type question where more than one choice are correct
Sir question no. 2 is a msq type question because if the order of the group is prime then the group is cyclic and if a group is cyclic then it must be abelian . Hene the answers of 2. are B) C) and D).
Thank you very much sir your video is very helpful for maths students even though don't know hindi and please continue your service and happily pray for your family and your health so that billions of students get benefited by your class 🙏
Sir in question 2 if G has prime order then it is cyclic, and so it is abelian
Yesh
That's my point also!!
Also finite
Because infinite group with prime order doesn't make sense
All options are true in 2 as there is a theorem which says that:"An infinite group must admits a non trivial subgroup"
So contrapositively if a group has no nontrivial subgroup then it must be finite hnce option (A) is true.
Also option (C) true which can be proved.
Once (C) is proved, (b) and (d) are true !!
Either the question is wrongly framed or it must be MSQ type question where more than one choice are correct
wawo maza aagya bht acha lecture hai
Upload karte rahiye... Bahut helpful hai.
Very Nice and most helpful for all exams Sir 🙏🙏🙏🙏
Sir question no. 2 is a msq type question because if the order of the group is prime then the group is cyclic and if a group is cyclic then it must be abelian . Hene the answers of 2. are B) C) and D).
Also (A)
But non trivial proper subgroup pucha hai to according to question option c is correct answer
Very helpful video sir.So thank you sir🙏
Thank you so much sir 🙏🙏
Awesome tricks 👌👌
Bahut helpful hai thank u so much sirr🙏
Outstanding sir 🙏 🙏 🙏 🙏
Wt a great explanation sir🙏🙏🙏🙏🙏🙏🙏
Good
Thank you very much sir your video is very helpful for maths students even though don't know hindi and please continue your service and happily pray for your family and your health so that billions of students get benefited by your class 🙏
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Marvellous
Very Helpful Sir
Sir, I read that non abelian implies not cyclic. Then at 0:29 how could you decide 🤔
Great sir
Nice 🙏🙏
Thankyou sir
🙏.... Thank you guruji
Thank you so much sir 🙏🙏🙏 your teaching skill is amazing 😍😍.
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Sir 1:54 pr p.q type m bhi 2 conditions hai jisme ye (ii) type ko satisfy kr rhi h : may or may not be
Thank you sir 🙏🙏🙏🙏
in question 2, as every group of prime order is cyclic and every cyclic group is abelian so I think G is cyclic and abelian also!!
Thank u sir
Sir please question batadijiye find g.c.d.of the Polynomials f(X)=X5+2x3+2x,g(X)=x4+X3+X+2
Over the field of modulo 3.
Thank U Sirrr🙏🙏🙏🙏
Sir, qn 5 option B is an abelian group, as every group of order p^2 is abelian?!
So this will be a cyclic group!?
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Sir DU ka previous year chapter wise krwa dijiye please 🙏🏼
Aand D option
A4 ka order beta 12 hota hai
Sir UPSC ki math dalo channel pr
Sir kuch bhi samaj nahi Aya,app Etna speed boltai hoooo 🙂
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Order of A4=12 not 24
4factorial is24
@@mathematics9398 divides. 2
I am your new unsubscriber
Thank you sir 🙏🙏🙏
Thank you sir
thank you sir