A nilpotent Freiman dimension lemma

DOI10.1016/j.ejc.2013.05.010zbMath1294.22004arXiv1112.4174OpenAlexW2012763028WikidataQ124819399 ScholiaQ124819399MaRDI QIDQ2509712

Emmanuel Breuillard, Terence C. Tao

Publication date: 29 July 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4174

Mathematics Subject Classification ID

Nilpotent groups (20F18) Nilpotent and solvable Lie groups (22E25) Residual properties and generalizations; residually finite groups (20E26)

Related Items (7)

Freiman's theorem in an arbitrary nilpotent group ⋮ Revisiting the nilpotent polynomial Hales-Jewett theorem ⋮ Small doubling in ordered nilpotent groups of class 2 ⋮ Approximate subgroups of residually nilpotent groups ⋮ Commuting probabilities of infinite groups ⋮ Properness of nilprogressions and the persistence of polynomial growth of given degree ⋮ Spectral theory of approximate lattices in nilpotent Lie groups

Cites Work

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• Approximate groups, III: the unitary case
• Approximate groups. I The torsion-free nilpotent case
• APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE
• Approximate multiplicative groups in nilpotent Lie groups
• Freiman's theorem for solvable groups
• Freiman's theorem in an arbitrary abelian group
• Compact Subgroups

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