Characterizing Automorphism Groups of Ordered Abelian Groups |
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| Authors: | Gobel, Rudiger Shelah, Saharon |
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| Affiliation: | Fachbereich 6, Mathematik und Informatik, Universität Essen 45117 Essen, Germany R.Goebel{at}Uni-Essen.De
Department of Mathematics, Hebrew University Jerusalem, Israel and Rutgers University New Brunswick, NJ, USA Shelah{at}math.huji.ae.il |
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| Abstract: | A proof is given of the following theorem, which characterizesfull automorphism groups of ordered abelian groups: a groupH is the automorphism group of some ordered abelian group ifand only if H is right-orderable. 2000 Mathematics Subject Classification20K15, 20K20, 20F60, 20K30 (primary); 03E05 (secondary). |
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