On subsets with small product in torsion-free groups

DOI10.1007/s004930050038zbMath0930.20034OpenAlexW2065862555MaRDI QIDQ1307444

Oriol Serra, Anna S. Lladó, Yahya Ould Hamidoune

Publication date: 31 October 1999

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004930050038

zbMATH Keywords

generating subsets of groupsnonabelian torsion-free groupsproducts of finite subsets

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13)

Related Items

Approximate groups and doubling metrics ⋮ Product set estimates for non-commutative groups ⋮ Small doubling in ordered nilpotent groups of class 2 ⋮ Cardinality of product sets in torsion-free groups and applications in group algebras ⋮ Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups ⋮ Zero divisors and units with small supports in group algebras of torsion-free groups ⋮ Small doubling in $m$-Engel groups ⋮ Yahya Ould Hamidoune's mathematical journey: a critical review of his work ⋮ A structure theorem for small sumsets in nonabelian groups ⋮ Noncommutative sets of small doubling ⋮ Unnamed Item ⋮ A property of groups and the Cauchy–Davenport theorem ⋮ SMALL DOUBLING IN ORDERED GROUPS ⋮ On the critical pair theory in abelian groups: beyond Chowla's theorem