Characterizing automorphism groups of ordered abelian groups

Rüdiger Göbel; Saharon Shelah

doi:10.1112/S0024609302001881

Characterizing automorphism groups of ordered abelian groups

Rüdiger Göbel^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A proof is given of the following theorem, which characterizes full automorphism groups of ordered abelian groups: a group H is the automorphism group of some ordered abelian group if and only if H is right-orderable.

Original language	English
Pages (from-to)	289-292
Number of pages	4
Journal	Bulletin of the London Mathematical Society
Volume	35
Issue number	3
DOIs	https://doi.org/10.1112/S0024609302001881
State	Published - May 2003

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Characterizing automorphism groups of ordered abelian groups

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