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

Results 1 to 3 of 3

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

- Joined
- Feb 2009
- Posts
- 2

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

- Joined
- Nov 2005
- From
- New York City
- Posts
- 10,616
- Thanks
- 10

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

- Joined
- Feb 2009
- Posts
- 2

## 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