REDUCTS OF STRUCTURES AND MAXIMAL-CLOSED PERMUTATION GROUPS

DOI10.1017/jsl.2015.78zbMath1372.03060arXiv1310.6393OpenAlexW2964045111WikidataQ59892472 ScholiaQ59892472MaRDI QIDQ2976381

Manuel Bodirsky, Dugald Macpherson

Publication date: 28 April 2017

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6393

zbMATH Keywords

reductsmaximal closed subgroupsstrongly minimal setsD-relationsJordan permutation groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Interpolation, preservation, definability (03C40) Subgroups of symmetric groups (20B35) Quantifier elimination, model completeness, and related topics (03C10) Infinite automorphism groups (20B27) Categoricity and completeness of theories (03C35)

Related Items (4)

Jordan permutation groups and limits of \(D\)-relations ⋮ PAIRWISE NONISOMORPHIC MAXIMAL-CLOSED SUBGROUPS OF SYM(ℕ) VIA THE CLASSIFICATION OF THE REDUCTS OF THE HENSON DIGRAPHS ⋮ NIP ω$\omega$‐categorical structures: The rank 1 case ⋮ The lattice of definability: origins, recent developments, and further directions

Cites Work

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• Reducts of the random partial order
• Infinite distance transitive graphs of finite valency
• Transitivity of permutation groups on unordered sets
• On variants of \(o\)-minimality
• Reducts of random hypergraphs
• On the orders of Primitive Permutation Groups
• Relations related to betweenness: their structure and automorphisms
• Ramsey Classes and Homogeneous Structures

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