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Characterizing automorphism groups of ordered abelian groups

Rüdiger Göbel·Saharon Shelah
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Abstract

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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Rüdiger Göbel, Saharon Shelah. 2001-12-23. Characterizing automorphism groups of ordered abelian groups. https://arxiv.org/abs/math/0112264

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