Small doubling in ordered nilpotent groups of class 2

Gregory A. Freiman, Marcel Herzog, Patrizia Longobardi, Mercede Maj, Yonutz V. Stanchescu

Research output: Contribution to journalArticlepeer-review

Abstract

The aim of this paper is to present a complete description of the structure of finite subsets S of torsion-free nilpotent groups of class 2 satisfying |S2|=3|S|−2. In view of results in [12], this gives a complete description of the structure of finite subsets with the above property in any torsion-free nilpotent group.

Original languageEnglish
Pages (from-to)87-95
Number of pages9
JournalEuropean Journal of Combinatorics
Volume67
DOIs
StatePublished - Jan 2018

Keywords

  • Finite subsets
  • Nilpotent groups
  • Ordered groups
  • Small doubling

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