Find [itex]C_{S_9}( \sigma) = \{ \tau \in S_9 | \sigma \tau = \tau \sigma \}[/itex], where [itex]\sigma = (2 \ 7)(3 \ 1 \ 8)[/itex](adsbygoogle = window.adsbygoogle || []).push({});

I know I'm supposed to show my work to get help, but I am completely lost on this one. Any hints would be great.

I have proved that for [itex] \tau \in C_{S_9}( \sigma)[/itex], [itex] \tau(\mbox{Fix} (\sigma)) = \mbox{Fix}(\sigma)[/itex], where [itex]\mbox{Fix}(\sigma) = \{ i | \sigma(i) = i \}[/itex]. I have been able to come up with subsets of [itex]C_{S_9}[/itex] but I have not been able to find the entire set.

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# Homework Help: Centralizer problem help

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