On a product of finite subsets in a torsion-free group
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Publication:910853
DOI10.1016/0021-8693(90)90093-4zbMath0697.20019OpenAlexW2023969508MaRDI QIDQ910853
Gregory A. Freiman, L. V. Brailovsky
Publication date: 1990
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(90)90093-4
Generators, relations, and presentations of groups (20F05) Additive bases, including sumsets (11B13) Additive number theory; partitions (11P99)
Related Items (11)
Product set estimates for non-commutative groups ⋮ Addition of sets of integers of positive density ⋮ Small doubling in ordered nilpotent groups of class 2 ⋮ Cardinality of product sets in torsion-free groups and applications in group algebras ⋮ A variant of the isoperimetric method of Hamidoune, applied to Kneser's theorem ⋮ Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups ⋮ Some additive applications of the isoperimetric approach ⋮ Small doubling in $m$-Engel groups ⋮ Groups with numerical restrictions on minimal generating sets ⋮ Small squaring and cubing properties for finite groups ⋮ A property of groups and the Cauchy–Davenport theorem
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