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CHARACTERIZING AUTOMORPHISM GROUPS OF ORDERED ABELIAN GROUPS

Published online by Cambridge University Press:  12 May 2003

RÜDIGER GÖBEL  and
SAHARON SHELAH
RÜDIGER GÖBEL
Affiliation:
Fachbereich 6 Mathematik und Informatik Universität Essen 45117 Essen [email protected]
SAHARON SHELAH
Affiliation:
Department of Mathematics Hebrew University Jerusalem [email protected] Rutgers University New Brunswick, NJ USA
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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.

Keywords

20K1520K2020F6020K30 (primary)03E05 (secondary)
Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 3 , May 2003 , pp. 289 - 292
Copyright
© The London Mathematical Society 2003

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Footnotes

This work is supported by project No. G-545-173.06/97 of the German–Israeli Foundation for Scientific Research & Development.