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Question about centralizer and normalizer

  1. Oct 23, 2008 #1
    in the definition of centalizer of subset H , Is H should be a non-empty subset?
    also, Is H should be subgroup in the normalizer of H?
  2. jcsd
  3. Oct 23, 2008 #2


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    Science Advisor

    There is always at least one member of the group G that commutes with every member! What is it? The centralizer of a subgroup it always a subgroup itself
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