Groups of dimension two and three over o-minimal structures

DOI10.1016/0168-0072(91)90025-HzbMath0749.03027MaRDI QIDQ1182480

Anand Pillay, Vladimir Razenj, Ali Nesin

Publication date: 28 June 1992

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

2-dimensional definably connected group3-dimensional definably connected nonsolvable groupclassifying groups definable in \(o\)- minimal structures and having dimension 1 or 2 or 3dimension of a definable subset

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (9)

Classifying torsion free groups in o-minimal expansions of real closed fields ⋮ Dimensional quasi-Frobenius groups ⋮ An open mapping theorem for o-minimal structures ⋮ Solvable groups definable in o-minimal structures. ⋮ One-dimensional groups over an o-minimal structure ⋮ Superrosy dependent groups having finitely satisfiable generics ⋮ Non-solvable groups of Morley rank 3 ⋮ Intersection theory for o-minimal manifolds ⋮ Computing o-minimal topological invariants using differential topology

Cites Work

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• On groups and fields definable in o-minimal structures
• One-dimensional groups over an o-minimal structure
• Non-solvable groups of Morley rank 3
• Definable sets in ordered structures
• Algebraic theories with definable Skolem functions
• First order topological structures and theories
• Some remarks on definable equivalence relations in O-minimal structures
• Definable Sets in Ordered Structures. II
• Groups of small Morley rank
• Some Model Theory of Compact Lie Groups

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