Geodesic
Embeddings in Lattice-$O^*$-Groups
Matematičeskie zametki, Tome 69 (2001) no. 5, pp. 708-712

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In the paper, the following results are obtained: the existence of simple divisible lattice-$O^*$-groups is established (Theorem 2.1) and it is proved that any countable lattice-orderable or right-orderable group can be isomorphically embedded in a simple divisible lattice-$O^*$-group (Theorem 2.2 and Corollary 2.3). 
@article{MZM_2001_69_5_a6,
     author = {N. Ya. Medvedev},
     title = {Embeddings in {Lattice-}$O^*${-Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {708--712},
     publisher = {mathdoc},
     volume = {69},
     number = {5},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_5_a6/}
}
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N. Ya. Medvedev. Embeddings in Lattice-$O^*$-Groups. Matematičeskie zametki, Tome 69 (2001) no. 5, pp. 708-712. http://geodesic.mathdoc.fr/item/MZM_2001_69_5_a6/