English

One Lie group to define them all

Logic 2021-08-20 v2 Group Theory

Abstract

We produce a connected real Lie group that, as a first order structure in the group language, interprets the real field expanded with a predicate for the integers. Moreover, the domain of our interpretation is definable in the group.

Keywords

Cite

@article{arxiv.2010.10579,
  title  = {One Lie group to define them all},
  author = {Annalisa Conversano and Marcello Mamino},
  journal= {arXiv preprint arXiv:2010.10579},
  year   = {2021}
}

Comments

To appear in Notre Dame Journal of Formal Logic

R2 v1 2026-06-23T19:30:07.684Z