Some Remarks on dp-Minimal Groups

DOI10.1007/978-3-319-51718-6_20zbMath1436.03200arXiv1605.07867OpenAlexW2401485816MaRDI QIDQ3298264

Itay Kaplan, Pierre Simon, Elad Levi

Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07867

zbMATH Keywords

definably amenable groupsdp-minimal groupsomega-categorical groups

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) Categoricity and completeness of theories (03C35)

Related Items (4)

On \(\omega \)-categorical groups and rings of finite burden ⋮ Some remarks on inp-minimal and finite burden groups ⋮ Definable sets containing productsets in expansions of groups ⋮ Criteria for exact saturation and singular compactness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(\omega\)-categorical, generically stable groups and rings
• Theories without the tree property of the second kind
• Dp-minimality: basic facts and examples
• Witnessing dp-rank
• \(\aleph_0\)-categorical stable groups
• Totally categorical groups and rings
• On the structure of \(\aleph_0\)-categorical groups
• Dependent first order theories, continued
• On 𝜔-categorical groups and rings with NIP
• Additivity of the dp-rank
• On dp-minimal ordered structures
• On dp-minimality, strong dependence and weight
• ABSOLUTELY UBIQUITOUS STRUCTURES AND N₀-CATEGORICAL GROUPS
• Soluble omega-categorical groups
• Definably amenable NIP groups
• DP-MINIMALITY: INVARIANT TYPES AND DP-RANK
• A Guide to NIP Theories
• Forking and Dividing in NTP₂ theories
• Minimal bounded index subgroup for dependent theories
• On $ω_1$-categorical theories of fields
• DP-MINIMAL VALUED FIELDS
• Lectures on amenability

This page was built for publication: Some Remarks on dp-Minimal Groups