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  1. mathematics
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  3. let g be a group. (consider the following parts th

Let G be a group. (consider the following parts that go together): (1) Prove that (a-1ba)n = a-1bna...

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Advance Math

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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