Amalgamations of lattice ordered groups

The author considers the problem of determining whether certain classes of lattice ordered groups (I-groups) have the amalgamation property. It is shown that the classes of abelian totally ordered groups (ogroups) and abelian i-groups have the property, but that the class of i-groups does not. However, under certain cardinality restrictions one can find an i-group which is the "product" of i-groups with an amalgamated subgroup whenever (a) the i-subgroup is an Archimedian o-group, or (b) the i-subgroup is a direct product of Archimedian o?groups and the i-groups are representable. This yields a new proof that any i-group is embeddable in a divisible i-group, and implies that any i-group is embeddable in an ilgroup in which any two positive elements are conjugate.