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

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

2007-06-27

arxiv.org/abs/0706.3950v1

Mathematics

Logic

Scientific paper

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

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