Characterizing automorphism groups of ordered abelian groups

2001/12/23 by Rüdiger Göbel, Saharon Shelah, Göbel, Rüdiger +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #math.GR #math.LO

paper · pdf · doi:10.48550/arxiv.math/0112264

published as Bull. London Math. Soc. 35 No. 3 (2003) 289--292

arxiv created 2001/12/23 · arxiv updated 2009/11/30

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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