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1. Let G be a group with o E G with o[e) = n. Prove that (bob1 '1 = e. [4) 2. Let G be

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1. Let G be a group with o E G with o[e) = n. Prove that (bob1 '1 = e. [4) 2. Let G be a group such that o2 = e for all e E G. Prove that G is ahehan. [Hint: To show ab 2 be use the fact that e3 = b2 = (with)2 = e]. {5} 5. 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. {5]

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