Geodesic
How to Construct Almost Free Groups
Canadian journal of mathematics, Tome 32 (1980) no. 5, pp. 1206-1228

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Almost free groups were introduced in [9] as groups all of whose “small” subgroups are free. Here “small” means generated by fewer elements than the cardinality of the group. This concept is a generalization of locally free. Suppose κ is a cardinal > ω. A group is κ-free if every subgroup generated by fewer than κ elements is free. A group of cardinality κ which is κ-free is almost free. There are two related concepts which are closer approximations to freeness. 
Mekler, Alan H. How to Construct Almost Free Groups. Canadian journal of mathematics, Tome 32 (1980) no. 5, pp. 1206-1228. doi: 10.4153/CJM-1980-090-1
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