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; Mar 6th 2008 at 05:42 AM.
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Not to worry, I figured out that they are the same thing, Paul
I was going to reply yesterday. I seems you have to use the fact if $\displaystyle \tau = (a_1,...,a_k)(b_1,b_2 .... )...$ Then, $\displaystyle \sigma \tau \sigma^{-1} = (\sigma (a_1),....,\sigma(a_k))(\sigma(b_1),....)$.
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