Normal Subgroups of Doubly Transitive Automorphism Groups of Chains

DOI10.2307/2000304zbMath0578.06001OpenAlexW4241552092MaRDI QIDQ3699733

Richard N. Ball, Manfred Droste

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000304

zbMATH Keywords

fixed pointsnormal subgroupslattice-ordered groupsubnormal subgroupminimal primes2-homogeneous chaincoterminality

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Total orders (06A05) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60) Infinite automorphism groups (20B27) Multiply transitive infinite groups (20B22)

Related Items

A construction of all normal subgroup lattices of 2-transitive automorphism groups of linearly ordered sets ⋮ Complete embeddings of linear orderings and embeddings of lattice-ordered groups ⋮ Completeness properties of certain normal subgroup lattices ⋮ Normal subgroups and elementary theories of lattice-ordered groups ⋮ Infinite permutation groups. I: Products of conjugacy classes ⋮ The continuous weak order ⋮ Order representability in groups and vector spaces ⋮ Automorphism groups of totally ordered sets: A retrospective survey

Cites Work

• On a theorem of Baer, Schreier, and Ulam for permutations
• The normal subgroup lattice of 2-transitive automorphism groups of linearly ordered sets
• A construction of all normal subgroup lattices of 2-transitive automorphism groups of linearly ordered sets
• Full convex l-subgroups and the existence of \(a^*\)-closures of lattice ordered groups
• On a theorem of Schreier and Ulam for countable permutations
• The lattice-ordered group of automorphisms of an ordered set
• The Algebraic Simplicity of Certain Groups of Homeomorphisms
• Bi-Interpretable Groups and Lattices
• Recognizing the Real Line
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