MAXIMAL COMPACT SUBGROUPS IN THE O-MINIMAL SETTING

DOI10.1142/S0219061313500049zbMath1295.03021MaRDI QIDQ2853982

Annalisa Conversano

Publication date: 17 October 2013

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

zbMATH Keywords

o-minimalitydefinable groupsdefinably compact subgroups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) General properties and structure of real Lie groups (22E15) Model theory of ordered structures; o-minimality (03C64)

Related Items (4)

Nilpotent groups, o-minimal Euler characteristic, and linear algebraic groups ⋮ THE ELLIS GROUP CONJECTURE AND VARIANTS OF DEFINABLE AMENABILITY ⋮ Definable topological dynamics and real Lie groups ⋮ Cartan subgroups and regular points of o‐minimal groups

Cites Work

• Connected components of definable groups and o-minimality. I
• On central extensions and definably compact groups in o-minimal structures
• On groups and fields definable in o-minimal structures
• Euler characteristic in semialgebraic and other o-minimal groups
• Solvable groups definable in o-minimal structures.
• On some types of topological groups
• Returning to semi-bounded sets
• Definable Compactness and Definable Subgroups of o-Minimal Groups
• Definably simple groups in o-minimal structures
• DEFINABLY COMPACT ABELIAN GROUPS
• On Groups and Rings Definable In O-Minimal Expansions of Real Closed Fields
• Groups, measures, and the NIP
• A remark on divisibility of definable groups
• Lie groups beyond an introduction
• Linear groups definable in o-minimal structures

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