3.8 Article

The Largest Group Contained in the Order Completion of a Totally Ordered Group

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Publisher

PLEIADES PUBLISHING INC
DOI: 10.1134/S2070046620020041

Keywords

Dedekind completion; totally ordered group; convex subgroups

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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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