- #1

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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. =)

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- 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

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- #3

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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!

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