The Structure of Divisible Abelian Groups

2010/10/28 by Daniel Miller, Miller, Daniel
Computer Science · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Polynomial and algebraic computation #math.GR

paper · pdf · doi:10.48550/arxiv.1010.5836

This paper has been withdrawn by the author. This expository note was withdrawn due to the triviality of its contents

openalex publication_date 2010/10/28 · arxiv created 2015/06/04 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• DIAGRAMS OF AN ABELIAN GROUP