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# Thorn independence in the field of real numbers with a small multiplicative group

@article{Berenstein2007ThornII, title={Thorn independence in the field of real numbers with a small multiplicative group}, author={Alexander Berenstein and Clifton Ealy and Ayhan G{\"u}naydin}, journal={Ann. Pure Appl. Logic}, year={2007}, volume={150}, pages={1-18} }

- Published 2007 in Ann. Pure Appl. Logic
DOI:10.1016/j.apal.2007.06.002

We characterize þ-independence in a variety of structures, focusing on the eld of real numbers expanded by predicate de ning a dense multiplicative subgroup, G, satisfying the Mann property and whose pth powers are of nite index in G. We also show such structures are super-rosy and eliminate imaginaries up to codes for small sets.