For a totally ordered group G we determine the largest group contained in its Dedekind completion G#. It was the result of studying the family of convex subgroups of G and some well-known properties of ordered groups.
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The text was submitted by the authors in English.
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Muci, A., Olivos, E. The Largest Group Contained in the Order Completion of a Totally Ordered Group. P-Adic Num Ultrametr Anal Appl 12, 123–133 (2020). https://doi.org/10.1134/S2070046620020041
- Dedekind completion
- totally ordered group
- convex subgroups