Expansions of the real field by discrete subgroups of Gln(C)

Philipp Hieronymi, Erik Walsberg, Samantha Xu

Research output: Contribution to journalArticlepeer-review


Let Γ be an infinite discrete subgroup of Gln(C). Then either (R, <, +, ·, Γ) is interdefinable with (R, <, +, ·, λZ) for some real number λ, or (R, <, +, ·, Γ) defines the set of integers. When Γ is not virtually abelian, the second case holds.

Original languageEnglish (US)
Pages (from-to)2221-2233
Number of pages13
JournalProceedings of the American Mathematical Society
Issue number5
StatePublished - May 2021

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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