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arXiv · 1010.5836

The Structure of Divisible Abelian Groups

Daniel Miller
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Abstract

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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Daniel Miller. 2010-10-28. The Structure of Divisible Abelian Groups. https://arxiv.org/abs/1010.5836

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