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Deduce that xax-1 has the same period as a

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Reference no: EM131028527

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

Reference no: EM131028527

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