# Sh:520

- Eklof, P. C., Foreman, M. D., & Shelah, S. (1995).
*On invariants for \omega_1-separable groups*. Trans. Amer. Math. Soc.,**347**(11), 4385–4402. arXiv: math/9501223 DOI: 10.2307/2155042 MR: 1316849 -
Abstract:

We study the classification of \omega_1-separable groups using Ehrenfeucht-Fraı̈ssé games and prove a strong classification result assuming PFA, and a strong non-structure theorem assuming \diamondsuit. - Version 1995-01-12_11 (22p) published version (19p)

Bib entry

@article{Sh:520, author = {Eklof, Paul C. and Foreman, Matthew Dean and Shelah, Saharon}, title = {{On invariants for $\omega_1$-separable groups}}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {347}, number = {11}, year = {1995}, pages = {4385--4402}, issn = {0002-9947}, mrnumber = {1316849}, mrclass = {03C55 (03C60 03E35 20K20)}, doi = {10.2307/2155042}, note = {\href{https://arxiv.org/abs/math/9501223}{arXiv: math/9501223}}, arxiv_number = {math/9501223} }