English

On the automorphism group of the universal homogeneous meet-tree

Logic 2022-03-11 v4 Group Theory

Abstract

We show that the countable universal homogeneous meet-tree has a generic automorphism, but it does not have a generic pair of automorphisms.

Keywords

Cite

@article{arxiv.1904.05144,
  title  = {On the automorphism group of the universal homogeneous meet-tree},
  author = {Itay Kaplan and Tomasz Rzepecki and Daoud Siniora},
  journal= {arXiv preprint arXiv:1904.05144},
  year   = {2022}
}

Comments

33 pages (incl. references); very minor corrections, references and MSC update