Geodesic
An Embedding Theorem for Ordered Groups
Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 944-946

Voir la notice de l'article provenant de la source Cambridge University Press

An O*-group is a group wherein every partial order can be extended to some full order.THEOREM. Suppose the group G has a normal chain G = G1 ⊇ G2 ⊇ ... such that and each G/Gi is locally nilpotent and torsion-free. Then G can be embedded in thecomplete direct product G’ of divisible O*-groups. 
Minassian, Donald P. An Embedding Theorem for Ordered Groups. Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 944-946. doi: 10.4153/CJM-1972-094-7
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