English

Jordan permutation groups and limits of D-relations

Group Theory 2020-09-11 v1

Abstract

We construct via Fra\"iss\'e amalgamation an ω\omega-categorical structure whose automorphism group is an infinite oligomorphic Jordan primitive permutation group preserving a `limit of DD-relations'. The construction is based on a semilinear order whose elements are labelled by sets carrying a DD-relation, with strong coherence conditions governing how these DD-sets are inter-related.

Keywords

Cite

@article{arxiv.2009.04711,
  title  = {Jordan permutation groups and limits of D-relations},
  author = {Asma Ibrahim Almazaydeh and Dugald Macpherson},
  journal= {arXiv preprint arXiv:2009.04711},
  year   = {2020}
}
R2 v1 2026-06-23T18:26:12.244Z