ON GROUPS WITH DEFINABLE F-GENERICS DEFINABLE IN P-ADICALLY CLOSED FIELDS

DOI10.1017/jsl.2023.37arXiv1911.01833MaRDI QIDQ6180598

Anand Pillay, Ningyuan Yao

Publication date: 22 December 2023

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01833

zbMATH Keywords

\(p\)-adically closed fieldsdefinable groupsdefinable \(f\)-generic

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Classification theory, stability, and related concepts in model theory (03C45) Model theory of ordered structures; o-minimality (03C64)

Cites Work

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• Connected components of definable groups and o-minimality. I
• Topological dynamics for groups definable in real closed field
• On NIP and invariant measures
• Dp-minimality: basic facts and examples
• A note on generically stable measures and fsg groups
• On minimal flows, definably amenable groups, and o-minimality
• On fields definable in \(Q_ p\)
• Groups definable in local fields and pseudo-finite fields
• A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
• Distal and non-distal NIP theories
• A note on groups definable in the \(p\)-adic field
• Algebraic Groups
• On the structure of semialgebraic sets over p-adic fields
• Definable groups and compact p -adic Lie groups
• Topological dynamics of definable group actions
• Algebraic theories with definable Skolem functions
• On Anisotropic Solvable Linear Algebraic Groups
• On definable subsets of p-adic fields
• SOLVABLE LIE GROUPS DEFINABLE IN O-MINIMAL THEORIES
• Definably amenable NIP groups
• Model Theory
• ON NON-COMPACT p-ADIC DEFINABLE GROUPS
• Definable topological dynamics for trigonalizable algebraic groups over Qp
• STABILIZERS, GROUPS WITH -GENERICS, AND PRC FIELDS
• DP-MINIMALITY: INVARIANT TYPES AND DP-RANK
• Definable topological dynamics and real Lie groups
• Some model theory and topological dynamics of $p$-adic algebraic groups
• Topological dynamics and definable groups
• Finding generically stable measures
• Groups, measures, and the NIP
• A note on fsg$\text{fsg}$ groups in p‐adically closed fields

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