Profinite groups with NIP theory andp-adic analytic groups

DOI10.1112/blms/bdw064zbMath1430.03054arXiv1603.02179OpenAlexW3102094349WikidataQ59891744 ScholiaQ59891744MaRDI QIDQ2980194

Dugald Macpherson, Katrin Tent

Publication date: 28 April 2017

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02179

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Limits, profinite groups (20E18)

Related Items (2)

Structure and regularity for subsets of groups with finite VC-dimension ⋮ Model theory of finite and pseudofinite groups

Cites Work

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• \(p\)-adic and real subanalytic sets
• Model theory of finite and pseudofinite groups
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Characterization of \(p\)-adic analytic groups in terms of wreath products
• Finitely generated groups, \(p\)-adic analytic groups and Poincaré series
• A bound on the number of generators of a finite group
• Dependent first order theories, continued
• Vapnik-Chervonenkis density in some theories without the independence property, I
• Additivity of the dp-rank
• Pseudofinite groups with NIP theory and definability in finite simple groups
• Definable groups and compact p -adic Lie groups
• First-order characterization of the radical of a finite group
• One-Dimensional p -Adic Subanalytic Sets
• A version of o-minimality for the p-adics
• A Guide to NIP Theories
• Minimal bounded index subgroup for dependent theories
• Groups and fields with $\operatorname {NTP}_{2}$
• On the number of generators of a finite group

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