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Isomorphism problem and need help

  1. Oct 31, 2009 #1
    1. The problem statement, all variables and given/known data
    Show that II18 / <3> is isomorphic to II3.


    2. Relevant equations
    II18 = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18}
    <3> = {0,3,6,9,12,15}
    II3 = {1,2,3}
    II18 / <3> = {3,6,9,12,15,18}

    3. The attempt at a solution
     
  2. jcsd
  3. Oct 31, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Re: Isomorphism

    Looks to me like your proof says they are NOT isomorphic! If they don't have the same number of members, they certainly aren't isomorphic.
     
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