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Proving the nonisomorphic groups of order 16 are indeed, not isomorphic.

  1. Oct 4, 2011 #1
    1. The problem statement, all variables and given/known data
    Find at least 7 pairwise non-isomorphic groups of order 16, and prove that no two among them are isomorphic.


    2. Relevant equations
    I found 7 nonisomorphic groups, but I just am having trouble how to precisely prove they are not isomorphic...


    3. The attempt at a solution
    (Z16), (Z8 x Z2), (Z4 x Z4), (Z4 x Z2 x Z2), (Z2 x Z2 x Z2 x Z2)
    (D8), (D4 x Z2)

    but how to prove non-isomorphic character...?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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