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Homework Help: Group Question

  1. Nov 9, 2006 #1
    How can I prove the following:

    A nonabelian simple group can not operate nontrivially on a set containing fewer than five elements.

    I can't get started.
  2. jcsd
  3. Nov 9, 2006 #2


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    Homework Helper

    When a group acts on a set of n elements, you get a homomorphism from that group into Sn. What can the kernel of this homomorphism be?
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