Let G be a group of odd order. a) Prove that if x E G, then (x2) = (x). b) Showthatthemapp:G-Gsuchthatp(g)=g2 isabijection. c) If x and y are elements of G such that yxy-1 = x-1, show that x and y2 commute and that x = =1.

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Q: Let G be a group of odd order. a) Prove that if x E G, then (x2) = (x). b)…

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