Title
Small doubling in ordered nilpotent groups of class 2.
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.
Year
DOI
Venue
2018
10.1016/j.ejc.2017.07.006
European Journal of Combinatorics
Keywords
Field
DocType
Ordered groups,Finite subsets,Small doubling,Nilpotent groups
Discrete mathematics,Combinatorics,Nilpotent group,Central series,Mathematics,Nilpotent
Journal
Volume
Issue
ISSN
67
C
0195-6698
Citations 
PageRank 
References 
0
0.34
4
Authors
5
Name
Order
Citations
PageRank
Gregory Freiman1123.15
Marcel Herzog294.66
Patrizia Longobardi300.68
M. Maj421.57
Yonutz Stanchescu562.47