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More abstract algebra

  1. Oct 15, 2007 #1
    1. The problem statement, all variables and given/known data
    If f is a homomorphism of G onto G' and N is a normal subgroup of G, show that f(N) is a normal subgroup of G'.

    2. Relevant equations

    3. The attempt at a solution
    Once again, I'm completely lost.
  2. jcsd
  3. Oct 15, 2007 #2


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    Science Advisor
    Homework Helper

    Under a homomorphism, h(ab)=h(a)h(b). Put this together with the definition of a normal subgroup and remember h is 'onto'. This is not that hard. You just need to get started.
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