English

The automorphism group of the random poset does not admit a generic pair

Logic 2023-05-02 v2 Combinatorics

Abstract

We show that the conjugacy class of every pair of automoprhisms of the random poset is meager. This answers a question of Truss; see also Kuske-Truss. EDIT. Work in progress, at the moment there is a gap in the proof of Theorem 2.

Keywords

Cite

@article{arxiv.2012.04376,
  title  = {The automorphism group of the random poset does not admit a generic pair},
  author = {Aleksandra Kwiatkowska and Aristotelis Panagiotopoulos},
  journal= {arXiv preprint arXiv:2012.04376},
  year   = {2023}
}

Comments

Work under progress: at the moment there is a gap in the proof of Theorem 2