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arxiv: math/0112264 · v1 · submitted 2001-12-23 · 🧮 math.LO · math.GR

Characterizing automorphism groups of ordered abelian groups

classification 🧮 math.LO math.GR
keywords groupsabelianorderedautomorphismringsaddingargumentcharacterize
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We characterize the groups isomorphic to full automorphism groups of ordered abelian groups. The result will follow from classical theorems on ordered groups adding an argument from proofs used to realize rings as endomorphism rings of abelian groups.

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