Mathematics – Group Theory
Scientific paper
2010-10-28
Mathematics
Group Theory
Scientific paper
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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