Characterizing Automorphism Groups of Ordered Abelian Groups

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. 2000 Mathematics Subject Classification 20K15, 20K20, 20F60, 20K30 (primary); 03E05 (secondary).