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Showing that there is no embedding between groups

  1. Oct 11, 2012 #1
    1. The problem statement, all variables and given/known data
    Show that there exists and embedding or show that an embedding can't exist between Z3 and Z.

    3. The attempt at a solution
    I've tried to find an embedding and can't so I've decided that an embedding can't exist but how does one show this?

    Any suggestions would be great.
     
  2. jcsd
  3. Oct 11, 2012 #2
    Hint: in [itex]\mathbb{Z}_3[/itex], we have 1+1+1=0.
     
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