### On invariants for $\omega _1$-separable groups

by Eklof and Foreman and Shelah. [EFSh:520]

Transactions American Math Soc, 1995

We study the classification of omega_1-separable groups
using Ehrenfeucht-Fra{i}sse games and prove a strong
classification result assuming PFA, and a strong non-structure
theorem assuming diamondsuit .

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