Approximate subgroups

DOI10.5802/JEP.17zbMath1379.03008arXiv1406.6007OpenAlexW3037991116MaRDI QIDQ495136

Frank O. Wagner, Jean-Cyrille Massicot

Publication date: 9 September 2015

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6007

zbMATH Keywords

definabilityapproximate subgroupdefinable amenability

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Model-theoretic algebra (03C60) Special aspects of infinite or finite groups (20F99) Models with special properties (saturated, rigid, etc.) (03C50) Interpolation, preservation, definability (03C40) Applications of model theory (03C98)

Related Items (10)

Infinite approximate subgroups of soluble Lie groups ⋮ Generating ideals by additive subgroups of rings ⋮ Model theory: combinatorics, groups, valued fields and neostability. Abstracts from the workshop held January 8--14, 2023 ⋮ On compactifications and product‐free sets ⋮ On piecewise hyperdefinable groups ⋮ Approximate subgroups with bounded VC-dimension ⋮ Locally definable subgroups of semialgebraic groups ⋮ Amenability, definable groups, and automorphism groups ⋮ Approximate Lattices and Meyer Sets in Nilpotent Lie Groups ⋮ Amenability, connected components, and definable actions

Cites Work

• On NIP and invariant measures
• Hilbert's fifth problem for local groups
• Definable quotients of locally definable groups
• The structure of approximate groups.
• Groups without small subgroups
• A generalization of a theorem of Gleason
• Stable group theory and approximate subgroups
• ON A NONABELIAN BALOG–SZEMERÉDI-TYPE LEMMA

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