THE ISOPERIMETRIC METHOD IN NON-ABELIAN GROUPS WITH AN APPLICATION TO OPTIMALLY SMALL SUMSETS

DOI10.1142/S1793042108001821zbMath1231.11124MaRDI QIDQ3636078

Éric Balandraud

Publication date: 30 June 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

additive number theoryisoperimetric methodminimal sumset sizeset addition theory

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70)

Cites Work

• A variant of the isoperimetric method of Hamidoune, applied to Kneser's theorem
• On small sumsets in an abelian group
• On a subgroup contained in some words with a bounded length
• Sumsets in vector spaces over finite fields
• A generalisation to noncommutative groups of a theorem of Mann
• Sums in the grid
• Subsets with small sums in abelian groups. I: The Vosper property
• Optimally small sumsets in finite abelian groups.
• An isoperimetric method in additive theory
• On the connectivity of Cayley digraphs
• Some results in additive number theory I: The critical pair theory

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