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Preprint Number 1001

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1001. Erin Caulfield
On expansions of the real field by complex subgroups
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Submission date: 2 February 2016.

Abstract:

We construct a class of finite rank multiplicative subgroups of the complex numbers such that the expansion of the real field by such a group is model-theoretically well-behaved. As an application we show that a classification of expansions of the real field by cyclic multiplicative subgroups of the complex numbers due to Hieronymi does not even extend to expansions by subgroups with two generators.

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Full text arXiv 1602.01142: pdf, ps.


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