This is not true, if you look here you will realize the centralizer is S3, which is a non-abelian group.

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- Feb 25th 2009, 07:20 PM #1

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- Feb 26th 2009, 03:28 PM #2

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- Feb 26th 2009, 09:33 PM #3

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## I was a bit unclear

I have two questions:

1) Let a, b, g , if ab C then a,b .

2) Let a, b, g , If ab then ba

1) Let then if ax=xa and same with b if 1 is true.

I get lost because I try to get ax=xa but I keep winding up with aba^-1 or some other conjugate and not ax=xa.

2) Similar issue here, I do I work this out because I keep getting conjugates