0 Elementary Facts -- 1 Homomorphisms, Prime Subgroups, Values and Structure Theorems -- 2 Lattice-Ordered Permutation Groups -- 3 Model Theory of Abelian l-Groups -- 4 Groups of Divisibility: A Unifying Concept for Integral Domains and Partially Ordered Groups -- 5 The Lattice of Convex l-Subgroups of a Lattice-Ordered Group -- 6 Torsion Theory of l-Groups -- 7 Completions of l-Groups -- 8 Characterization of Epimorphisms in Archimedean Lattice-Ordered Groups and Vector Lattices -- 9 Free Lattice-Ordered Groups -- 10 Varieties of Lattice-Ordered Groups Norman -- 11 Free Products in Varieties of Lattice-Ordered Groups -- 12 Amalgamations of Lattice-Ordered Groups -- 13 Generators and Relations in Lattice-Ordered Groups: Decision Problems and Embedding Theorems