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Deepak Patra posted an Question
December 29, 2021 • 22:00 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Find the number of non isomorphic group of order 20????????????

find the number of non isomorphic group of order 20????????????

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  • Anonymous User best-answer

    2 check attachment

    cropped7103461269553472967.jpg
    cropped3520466032995949859.jpg
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    but sir formula is for non isomorphic abelian group ... but in question there is no hint of abelian ... that means we can consider non abelian group also ... and D10 is only non abelian group of order 20 ... so total non isomorphic group is 3 .... i think so ????

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    sir i think there is a mistake in the video .. at n= 12 .. upto isomorphism = 4 and at n=18 upto isomorphism = 4 ... just check it please

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    https://web.math.utk.edu › ~fi...PDF Groups of Order 18 - UTK Math Department.

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    sir didn't find anything in this site???

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    sir i didn't understand anything in the pic ... i think its higher virsion of group theory

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    but sir in video when n= 12 ... he has considered Z12 and Z3*Z4 both ... but sir they are isomorphic na ... we have to choose one of them .. thats why i think ans is 4 .... just go through the logic ???

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    both different

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    for 12, 2 abelian group

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    Z3*Z4 and Z12 group elements are different but according to therom they are isomorphic na .. then why should we consider both ????

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    sir i got it ... in video there is mistake.. there are 3 non abelian and 2 Abelian .... but sir Q12 is also a group ... seeing for the 1st time ... it is out of syllabus 😂

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    group high level theory's in we learn 20-25%

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    how sir z3xz4 all elements commutes ... just proof it that it is non abelian..???? i am now confused

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    how non abelian

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    Q12

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