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Period of a Group of Elements

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

Solution Preview

To prove xax-1 has the same period as a

Let period of a be ...

Solution Summary

This is a proof regarding the period of a group.

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