ON A NONABELIAN BALOG–SZEMERÉDI-TYPE LEMMA

DOI10.1017/S1446788710000236zbMath1223.11014arXiv0912.0306WikidataQ124847233 ScholiaQ124847233MaRDI QIDQ3164550

Tom Sanders

Publication date: 28 October 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0306

zbMATH Keywords

Freiman's theoremnonabelian groupsnoncommutative groupsBalog-Szemerédi-Gowers lemmainduction on doublingKatz-Koester tricknonabelian analogue of Green-Ruzsa-Freiman theorem

Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20F99) Additive bases, including sumsets (11B13) Additive number theory; partitions (11P99) Probabilistic methods in group theory (20P99)

Related Items (13)

On pseudo-finite dimensions ⋮ The structure of approximate groups. ⋮ A probabilistic technique for finding almost-periods of convolutions ⋮ On compactifications and product‐free sets ⋮ Approximate subgroups with bounded VC-dimension ⋮ Amenability, definable groups, and automorphism groups ⋮ Embedding Graphs into Larger Graphs: Results, Methods, and Problems ⋮ Approximate subgroups ⋮ Near optimal bounds in Freiman's theorem ⋮ Amenability, connected components, and definable actions ⋮ Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle ⋮ On Sumsets of Convex Sets ⋮ On finite sets of small tripling or small alternation in arbitrary groups

Cites Work

• Product set estimates for non-commutative groups
• Freiman's theorem in an arbitrary abelian group

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