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Math Help - Centralizers

  1. #1
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    Centralizers

    I am a little confused as to the definition of a centralizer. Is it the set of elements in H such that gh=hg or that ghg^{-1}=h?

    Thanks,

    Paul
    Last edited by notyeteuler; March 6th 2008 at 05:42 AM.
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  2. #2
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    Not to worry, I figured out that they are the same thing,

    Paul
    Last edited by notyeteuler; March 6th 2008 at 05:42 AM.
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  3. #3
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    I was going to reply yesterday.
    I seems you have to use the fact if \tau = (a_1,...,a_k)(b_1,b_2 .... )...
    Then, \sigma \tau \sigma^{-1} = (\sigma (a_1),....,\sigma(a_k))(\sigma(b_1),....).
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