Period of a Group of Elements
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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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Solution Summary
This is a proof regarding the period of a group. The multiplicative group of a function is examined.
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To prove xax-1 has the same period as a
Let period of a be ...
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