Jordan permutation groups and limits of D-relations

DOI10.1515/JGTH-2020-0083arXiv2009.04711MaRDI QIDQ6348809

Dugald Macpherson, Asma Ibrahim Almazaydeh

Publication date: 10 September 2020

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

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) General theory for infinite permutation groups (20B07) Multiply transitive infinite groups (20B22) Categoricity and completeness of theories (03C35)

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