A group version of stable regularity

DOI10.1017/S0305004118000798WikidataQ129046580 ScholiaQ129046580MaRDI QIDQ5216094

Gabriel Conant, Caroline A. Terry, Anand Pillay

Publication date: 14 February 2020

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06309

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)

Related Items (13)

Structure and regularity for subsets of groups with finite VC-dimension ⋮ Infinite stable graphs with large chromatic number ⋮ Automata and tame expansions of \((\mathbb{Z}, +)\) ⋮ Convolutions of sets with bounded VC-dimension are uniformly continuous ⋮ Invariant measures in simple and in small theories ⋮ Approximate subgroups with bounded VC-dimension ⋮ Pseudofinite groups and VC-dimension ⋮ The coset and stability rings ⋮ A model-theoretic note on the Freiman-Ruzsa theorem ⋮ Stability in a group ⋮ On finite sets of small tripling or small alternation in arbitrary groups ⋮ Quantitative structure of stable sets in arbitrary finite groups ⋮ DOMINATION AND REGULARITY

Cites Work

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• The stable regularity lemma revisited
• Stable group theory and approximate subgroups
• Weak generic types and coverings of groups I
• Stable arithmetic regularity in the finite field model
• Regularity lemmas for stable graphs
• Groups, measures, and the NIP

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