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st11 - (17 points 3 Determine the number of noncyclic...

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Math 5125 Monday, September 12 Sample First Test no. 1. Answer All Problems. Please Give Explanations For Your Answers. 1. Let G be a group with exactly three elements of order 2. Prove that G is not simple. (17 points) 2. Prove that a group of order 1683 is abelian.
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Unformatted text preview: (17 points) 3. Determine the number of noncyclic abelian groups of order 36. (16 points) Test on Wednesday, September 28. Material Chapters 3,4,5,6 approximately....
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