Let G be a group. (consider the following parts that gotogether):
(1) Prove that (a-1ba)n =a-1bna for any a,b in G, and any integern.
(2) Prove that |xax-1| = |a| for any a, x in G.
(3) Prove: If a is the only element of order two in G, then alies in Z(G) where Z is the center of the group, G.
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