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Anku posted an Question
May 01, 2021 • 03:08 am 30 points
  • IIT JAM
  • Mathematics (MA)

Pls once tell with an example...

pls once tell with an example.... .. .. . . . .. . . .. . . . .

3 Answer(s) Answer Now
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    Gattu uday best-answer

    Yes Every Subgroup of an Abelian group is Abelian ,because in Abelian group every element posses Abelian nature i.e., commutativeness soo all subgroups can be Abelian

  • comment-profile-img>
    Gattu uday

    Every Subgroup of an Abelian group is Abelian , but every Subgroup of a group is may / may not be Abelian. And A non abelian group can have an Abelian subgroup

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    Piyush pachauri best-answer

    Abelian group will always have abelian subgroup . Every subgroup will not be abelian in general. Take Q8 which is not abelian but has a cyclic subgroup of order 4 generated by .

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    Deepak singh 1 Best Answer

    Refer attached explanation

    cropped3931158573662310332.jpg
    eduncle-logo-app

    and sir will every abelian group will have only abelian subgroup?

    eduncle-logo-app

    yes , every subgroup of abelian group is abelian .

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