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Vijay posted an Question
September 23, 2020 • 19:14 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Please prove the below statement clearly

Please prove the below statement clearly and also give some examples of a group of order 4 that is abelian.

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    Deepak singh 1

    if any doubt then ask

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    how do we know that each element has order 2 only?

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    in second case , since G has no element of order 4 this implies G have elements of order 1 and 2 only... order 1 element will be identity and all rest elements will be 2 order ..

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    feel free to ask again..

  • Anonymous User best-answer

    We know every group of order p^2 is abelian , where p is prime number ( for eg. take p=2 then we get group of order 4 so it must be abelian.

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