Completion of Linearly Ordered Groups

Author: Bludov V.  

Publisher: Springer Publishing Company

ISSN: 0002-5232

Source: Algebra and Logic, Vol.44, Iss.6, 2005-11, pp. : 370-380

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Abstract

We give examples of linearly ordered groups that are not embeddable in divisible orderable. In the first example, the group does not embed in any divisible group with strictly isolated unity. In the second example, the group in question is an O*-group, and in the third, it is a group with a central system of convex subgroups.