Thread: 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.

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.

Prove that . Then, .

how to prove a*x*a = x3 ?

Originally Posted by mous99

how to prove a*x*a = x3 ?

You can't prove a hypothesis.

can u show be by step? thankssssss

Originally Posted by mous99

can u show be by step? thankssssss

Better, ask me step by step.