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arxiv: 1010.5836 · v3 · pith:H67LP42Anew · submitted 2010-10-28 · 🧮 math.GR

The Structure of Divisible Abelian Groups

classification 🧮 math.GR
keywords abeliandivisiblegroupgroupsstructuretheoremadditivecopies
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This is an expository work presenting in detail the proof of the structure theorem for divisible abelian groups. A divisible abelian group is an abelian group that satisfies nD=D for all natural n. The theorem states that any divisible group is a direct sum of copies of the additive rationals and quasicyclic groups.

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