Structure of partially ordered sets with transitive automorphism groups

DOI10.1090/memo/0334zbMath0574.06001OpenAlexW2016249732MaRDI QIDQ3691714

Manfred Droste

Publication date: 1985

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0334

zbMATH Keywords

automorphism groupstreespartial orders2-homogeneity3- transitivitydoubly homogeneous chainsinfinite p.o. setsmeet- semilattices

Mathematics Subject Classification ID

Partial orders, general (06A06) Semilattices (06A12) Infinite automorphism groups (20B27) Multiply transitive infinite groups (20B22)

Related Items (36)

Commutators in groups of order-preserving permutations ⋮ Complete embeddings of linear orderings and embeddings of lattice-ordered groups ⋮ On variants of \(o\)-minimality ⋮ On a quotient \(S\)-set induced by countably infinite decreasing chains ⋮ Weakly binary expansions of dense meet‐trees ⋮ On limits of betweenness relations ⋮ Set-homogeneous directed graphs ⋮ Set‐homogeneous hypergraphs ⋮ Orbit-equivalent infinite permutation groups. ⋮ Homogeneous bands ⋮ Betweenness relations and cycle-free partial orders ⋮ Countable locally 2-arc-transitive bipartite graphs ⋮ Unnamed Item ⋮ Simplicity of some automorphism groups. ⋮ Countable 1-Transitive Trees ⋮ Transitive primitive permutation groups acting on trees ⋮ Representation of Tree Permutations by Words ⋮ Structural properties of dendrite groups ⋮ The ubiquity of free groups ⋮ The \(\aleph_{0}\)-categorical trees ⋮ A survey of homogeneous structures ⋮ On k-homogeneous posets and graphs ⋮ A classification of countable lower 1-transitive linear orders ⋮ \(\aleph_0\)-categoricity of semigroups. II. ⋮ Construction of some countable 1-arc-transitive bipartite graphs ⋮ Homogeneous actions on the random graph ⋮ Some more notions of homomorphism-homogeneity ⋮ Partially homogeneous partially ordered sets ⋮ Construction of some uncountable 2-arc-transitive bipartite graphs ⋮ Reconstructing the topology on monoids and polymorphism clones of reducts of the rationals ⋮ Constraint Satisfaction Problems with Infinite Templates ⋮ \(\aleph _0\)-categoricity of semigroups ⋮ Strongly determined types ⋮ APPROXIMATING TREES AS COLOURED LINEAR ORDERS AND COMPLETE AXIOMATISATIONS OF SOME CLASSES OF TREES ⋮ Cell decompositions of \(C\)-minimal structures ⋮ Automorphism groups of countable highly homogeneous partially ordered sets

This page was built for publication: Structure of partially ordered sets with transitive automorphism groups