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The normal subgroup lattice of 2-transitive automorphism groups of linearly ordered sets

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Publication:1069960
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zbMath0583.06001MaRDI QIDQ1069960

Manfred Droste

Publication date: 1985

Published in: Order (Search for Journal in Brave)


zbMATH Keywords

automorphism grouplattice of normal subgroupsdoubly homogeneous2-transitivelyDedekind-completiondually dense elementsfirst order propertiesinfinite linearly ordered set


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Chains and lattices of subgroups, subnormal subgroups (20E15) Total orders (06A05) Ultraproducts and related constructions (03C20) Infinite automorphism groups (20B27)


Related Items (7)

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 ⋮ Normal subgroups of \(\text B_{u}\text {Aut}(\Omega )\) ⋮ Completeness properties of certain normal subgroup lattices ⋮ Normal subgroups and elementary theories of lattice-ordered groups ⋮ Normal Subgroups of Doubly Transitive Automorphism Groups of Chains ⋮ Automorphism groups of totally ordered sets: A retrospective survey






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