The Structure of Divisible Abelian Groups
Group Theory
2015-06-05 v3
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.
Cite
@article{arxiv.1010.5836,
title = {The Structure of Divisible Abelian Groups},
author = {Daniel Miller},
journal= {arXiv preprint arXiv:1010.5836},
year = {2015}
}
Comments
This paper has been withdrawn by the author. This expository note was withdrawn due to the triviality of its contents