Partially Ordered Sets with Transitive Automorphism Groups

DOI10.1112/plms/s3-54.3.517zbMath0582.06006OpenAlexW1972382382MaRDI QIDQ3705492

Manfred Droste

Publication date: 1987

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-54.3.517

zbMATH Keywords

partially ordered setsinfinitary equivalenceorder-automorphismsorder-preserving permutationk-homogeneous automorphism groupk-transitive automorphism group

Mathematics Subject Classification ID

Partial orders, general (06A06) Infinite automorphism groups (20B27) Multiply transitive infinite groups (20B22) Categoricity and completeness of theories (03C35)

Related Items (7)

Complete embeddings of linear orderings and embeddings of lattice-ordered groups ⋮ Satisfiability of \(\mathrm{ECTL}^*\) with local tree constraints ⋮ On a quotient \(S\)-set induced by countably infinite decreasing chains ⋮ Set‐homogeneous hypergraphs ⋮ Transitive primitive permutation groups acting on trees ⋮ On k-homogeneous posets and graphs ⋮ Homogeneity of inverse semigroups

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