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Math 641 Abstract Algebra Questions for Section 11: Direct Products and Finitely Generated Abelian Groups 1. Let G = 〈Z 3,+3
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THE FUNDAMENTAL THEOREM FOR FINITE ABELIAN GROUPS: A BRIEF HISTORY AND PROOF. 1. Brief History of Group Theory The development o
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SOLVED: (6)(20 points) (a) Let G be a cyclic group of order n.Prove that for every divisor dofn there is a subgroup of G having order d (b) Characterize all factor groups
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