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Math Help - abilean group

  1. #1
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    abilean group

    any two abilean group of same order are isomorphic.
    is the statement is true? please explain.
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  2. #2
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    Re: abilean group

    it is false. Z2 x Z2 and Z4 are both abelian groups of order 4, but Z4 has two elements of order 4 (1 and 3), whereas Z2 x Z2 has NO elements of order 4.
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  3. #3
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    Re: abilean group

    yes thank u
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