Geodesic
Completion of Linearly Ordered Groups
Algebra i logika, Tome 44 (2005) no. 6, pp. 664-681

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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.
Keywords: linearly ordered group, centrally metabelian group
Mots-clés : $O^*$-group, divisible group. 
@article{AL_2005_44_6_a1,
     author = {V. V. Bludov},
     title = {Completion of {Linearly} {Ordered} {Groups}},
     journal = {Algebra i logika},
     pages = {664--681},
     publisher = {mathdoc},
     volume = {44},
     number = {6},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2005_44_6_a1/}
}
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V. V. Bludov. Completion of Linearly Ordered Groups. Algebra i logika, Tome 44 (2005) no. 6, pp. 664-681. http://geodesic.mathdoc.fr/item/AL_2005_44_6_a1/