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Prove that a and axb where b is the inverse of a have the


Let a and x be elements in a group G.

Prove that a and axb ,where b is the inverse of a, have the same period.

Let G be a multiplicative group and a, x € G.
Prove that for all n € N , (xax-1) = xanx-1
( N is the set of natural numbers)

Deduce that xax-1 has the same period as a

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Algebra: Prove that a and axb where b is the inverse of a have the
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