If G is a group and , prove that ab and ba have the same order. I think i need to use the conjugate to prove this, because conjugate elements have the same order.

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- Oct 22nd 2009, 08:11 PMux0usng a conjugate
If G is a group and , prove that ab and ba have the same order. I think i need to use the conjugate to prove this, because conjugate elements have the same order.

- Oct 22nd 2009, 09:02 PMtonio
- Oct 23rd 2009, 05:59 AMux0
its just that simple?

---------Multiplication of the identity

---------- Associativity

--------------- Conjugate elements have the same order - Oct 23rd 2009, 09:49 AMtonio
- Oct 23rd 2009, 12:03 PMux0
Ya I kind of did, and thanks for the notation correction!