English

The free group has the dimensional order property

Logic 2017-05-04 v1 Group Theory

Abstract

We prove that the common theory of nonabelian free groups has the dimensional order property, or DOP, implying, for example, that there is no reasonable structure theorem for 1\aleph_1-saturated models of this theory.

Keywords

Cite

@article{arxiv.1604.07034,
  title  = {The free group has the dimensional order property},
  author = {Anand Pillay and Rizos Sklinos},
  journal= {arXiv preprint arXiv:1604.07034},
  year   = {2017}
}

Comments

9 pages

R2 v1 2026-06-22T13:39:33.678Z