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Approximate algebraic structure

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Publication:5371199
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zbMath1392.11009arXiv1404.0093MaRDI QIDQ5371199

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Publication date: 25 October 2017

Abstract: We discuss a selection of recent developments in arithmetic combinatorics having to do with ``approximate algebraic structure together with some of their applications.


Full work available at URL: https://arxiv.org/abs/1404.0093



zbMATH Keywords

additive combinatoricsarithmetic combinatoricsGowers normnilsequenceapproximate group


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Arithmetic combinatorics; higher degree uniformity (11B30)



Related Items (6)

Every finite subset of an abelian group is an asymptotic approximate group ⋮ Approximate subgroups of residually nilpotent groups ⋮ Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits ⋮ Finite field models in arithmetic combinatorics -- ten years on ⋮ Polylogarithmic bounds in the nilpotent Freiman theorem ⋮ Properness of nilprogressions and the persistence of polynomial growth of given degree





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