Completeness properties of certain normal subgroup lattices

DOI10.1016/S0195-6698(87)80003-3zbMath0659.20023OpenAlexW2061310379MaRDI QIDQ1112172

Manfred Droste

Publication date: 1987

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(87)80003-3

zbMATH Keywords

completenesslattice of normal subgroups2-transitive automorphism groupsinfinite distributive identitiesinfinite linearly ordered sets

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Chains and lattices of subgroups, subnormal subgroups (20E15) General theory for infinite permutation groups (20B07) Total orders (06A05) Infinite automorphism groups (20B27)

Related Items (2)

Complete embeddings of linear orderings and embeddings of lattice-ordered groups ⋮ Normal subgroups and elementary theories of lattice-ordered groups

Cites Work

• 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
• Distinguished extensions of a lattice-ordered group
• The lattice-ordered group of automorphisms of an ordered set
• Normal Subgroups of Doubly Transitive Automorphism Groups of Chains
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