- #1

- 68

- 0

if abb=bba and b is of odd order, then ab=ba (i.e. if b^2 centralizes a then so does b)

I'm not sure why this is so. Any clarification would be appreciated.

Cheers,

W. =)

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter wakko101
- Start date

- #1

- 68

- 0

if abb=bba and b is of odd order, then ab=ba (i.e. if b^2 centralizes a then so does b)

I'm not sure why this is so. Any clarification would be appreciated.

Cheers,

W. =)

- #2

Dick

Science Advisor

Homework Helper

- 26,260

- 619

- #3

- 68

- 0

b^(2n)ba = ab^(2n)b

b^2n(ba) = b^2n(ab) since abb = bba

ba = ab

If that's it, then cheers! =)

- #4

Dick

Science Advisor

Homework Helper

- 26,260

- 619

b^(2n)ba = ab^(2n)b

b^2n(ba) = b^2n(ab) since abb = bba

ba = ab

If that's it, then cheers! =)

Cheers!

Share:

- Replies
- 3

- Views
- 3K