Approximate groups. I The torsion-free nilpotent case
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Publication:3069637
DOI10.1017/S1474748010000150zbMath1272.11025arXiv0906.3598OpenAlexW2962874255MaRDI QIDQ3069637
Ben Green, Emmanuel Breuillard
Publication date: 18 January 2011
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.3598
Nilpotent and solvable Lie groups (22E25) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (17)
Approximate groups and doubling metrics ⋮ Freiman's theorem in an arbitrary nilpotent group ⋮ Geometric presentations of Lie groups and their Dehn functions ⋮ Revisiting the nilpotent polynomial Hales-Jewett theorem ⋮ Small doubling in ordered nilpotent groups of class 2 ⋮ The structure of approximate groups. ⋮ Approximate subgroups of residually nilpotent groups ⋮ Nilprogressions and groups with moderate growth ⋮ A quantitative version of the non-Abelian idempotent theorem ⋮ Growth in solvable subgroups of \(\mathrm{GL}_r(\mathbb Z/p\mathbb Z)\). ⋮ A nilpotent Freiman dimension lemma ⋮ Polylogarithmic bounds in the nilpotent Freiman theorem ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition ⋮ Properness of nilprogressions and the persistence of polynomial growth of given degree ⋮ A geometric path from zero Lyapunov exponents to rotation cocycles ⋮ Growth in groups: ideas and perspectives ⋮ Sur les rapprochements par conjugaison en dimension 1 et classe
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- Polynomial sequences in groups
- Generalized arithmetical progressions and sumsets
- A polynomial bound in Freiman's theorem.
- Product set estimates for non-commutative groups
- A quantitative version of the idempotent theorem in harmonic analysis
- Freiman's theorem in an arbitrary abelian group
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