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Automorphism Groups of Ordered Abelian Groups by SakoMC is a document available to read on EtoBox.

(1) The authors characterize groups that are isomorphic to the full automorphism groups of ordered abelian groups. They show that a group H is isomorphic to such an automorphism group if and only if H is a right-orderable group. (2) The authors construct, for any right-orderable group H, an א1-free ordered abelian group G such that the automorphism group of G is isomorphic to H. This involves ordering the group ring ZH and taking a direct limit of pure subgroups. (3) This characterization is in contrast t

Author

SakoMC

Language

EN