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Preprint Number 1478

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1478. Philipp Hieronymi, Erik Walsberg, Samantha Xu
Expansions of the real field by discrete subgroups of Gl_n(C)

Submission date: 7 September 2018


Let Γ be an infinite discrete subgroup of Gl_n(C). Then either (R, <, +, ×, Γ) is interdefinable with (R, <, +, ×, λ^Z) for some λ in R, or (R, < , +, ×, Γ) defines the set of integers. When Γ is not virtually abelian, the second case holds.

Mathematics Subject Classification: 03C64

Keywords and phrases:

Full text arXiv 1809.02273: pdf, ps.

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