ONE DIMENSIONAL GROUPS DEFINABLE IN THE p-ADIC NUMBERS

DOI10.1017/jsl.2021.17OpenAlexW2901508866MaRDI QIDQ5159501

Juan Pablo Acosta López

Publication date: 27 October 2021

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

Full work available at URL: https://arxiv.org/abs/1811.09854

zbMATH Keywords

groupsmodel theory\(p\)-adic numbers

Mathematics Subject Classification ID

Basic properties of first-order languages and structures (03C07)

Cites Work

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• One-dimensional Nash groups
• Dimension of definable sets, algebraic boundedness and Henselian fields
• A note on groups definable in the \(p\)-adic field
• p-Adic Lie Groups
• Definable groups and compact p -adic Lie groups
• p-adic semi-algebraic sets and cell decomposition.
• Analytic $p$-adic cell decomposition and integrals
• Presburger sets and p-minimal fields
• TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY
• STABILIZERS, GROUPS WITH -GENERICS, AND PRC FIELDS

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