Algebra Help. Groups..

Let <G, *> be a group, x, a, b ∈ G and e is the identify element. Prove that if a2 = e and a*x*a = x3, then x8 = e.

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Originally Posted by mous99

Let <G, *> be a group, x, a, b ∈ G and e is the identify element. Prove that if a2 = e and a*x*a = x3, then x8 = e.

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Prove that . Then, .

how to prove a*x*a = x3 ?

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Originally Posted by mous99

how to prove a*x*a = x3 ?

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You can't prove a hypothesis.

can u show be by step? thankssssss

Quote:

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Originally Posted by mous99

can u show be by step? thankssssss

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Better, ask me step by step.