Question: 1. Let G be a group with a E G with o (@) = n. Prove that (bab ]) = e. (4) 2. Let G

1. Let G be a group with a E G with o (@) = n. Prove that (bab ]) = e. (4) 2. Let G be a group such that a* = e for all a e G. Prove that G is abelian. (Hint: To show ab = ba use the fact that a] = b] = (ab)? = e]- (5) 6. Let G be a group of order 6 with five elements of order 2 and zero elements of order 3. Prove that G is abelian.

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