Sets with small sumset and rectification

BJ Green, IZ Ruzsa

Research output: Contribution to journalArticle (Academic Journal)peer-review

46 Citations (Scopus)


We study the extent to which sets A subset of Z/NZ, AF prime, resemble sets of integers from the additive point of view ('up to Freiman isomorphism'). We give a direct proof of a result of Freiman, namely that if vertical bar A + A vertical bar = (32K)(-12K2). As a byproduct of our argument we obtain a sharpening of the second author's result on sets with small sumset in torsion groups. For example, if A subset of F-2(n), and if vertical bar A + A vertical bar
Translated title of the contributionSets with small sumset and rectification
Original languageEnglish
Pages (from-to)43 - 52
Number of pages10
JournalBulletin of the London Mathematical Society
Volume38 (1)
Publication statusPublished - Feb 2006

Bibliographical note

Publisher: Oxford University Press
Other identifier: IDS Number: 012QT


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