An Even Better Representation for Free Lattice-Ordered Groups

DOI10.2307/1999785zbMath0546.06014OpenAlexW4250744537MaRDI QIDQ3337521

Stephen H. McCleary

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999785

zbMATH Keywords

root systemfree lattice-ordered groupprime subgroupsConrad representationGlass-McCleary representationpathologically o-2-transitive \(\ell\)- permutation groupright orderings

Mathematics Subject Classification ID

Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (8)

Highly transitive representations of free groups and free products ⋮ The root system of prime subgroups of a free lattice-ordered group (without G.C.H.) ⋮ Note on the question of Sikora ⋮ Orders on groups, and spectral spaces of lattice-groups ⋮ The structure of free Abelian \(\ell\)-groups and free vector lattices ⋮ A new characterization of Conrad's property for group orderings, with applications. With an appendix by Adam Clay ⋮ Describing all bi-orderings on Thompson's group \(F\) ⋮ Representations of free lattice-ordered groups

Cites Work

• O-2-transitive ordered permutation groups
• Free Lattice-Ordered Groups Represented as o-2 Transitive l-Permutation Groups
• Free lattice-ordered groups
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