Small doubling in ordered groups: Generators and structure

Gregory A. Freiman; Marcel Herzog; Patrizia Longobardi; Mercede Maj; Alain Plagne; Yonutz V. Stanchescu

doi:10.4171/GGD/409

Small doubling in ordered groups: Generators and structure

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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove several new results on the structure of the subgroup generated by a small doubling subset of an ordered group, abelian or not. We obtain precise results generalizing Freiman's 3k 3 and 3k 2 theorems in the integers and several further generalizations.

langue originale	Anglais
Pages (de - à)	585-612
Nombre de pages	28
journal	Groups, Geometry, and Dynamics
Volume	11
Numéro de publication	2
Les DOIs	https://doi.org/10.4171/GGD/409
état	Publié - 1 janv. 2017

Accès au document

10.4171/GGD/409

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{4d88f51da80d4d0bbc8704707818dfb5,

title = "Small doubling in ordered groups: Generators and structure",

abstract = "We prove several new results on the structure of the subgroup generated by a small doubling subset of an ordered group, abelian or not. We obtain precise results generalizing Freiman's 3k 3 and 3k 2 theorems in the integers and several further generalizations.",

keywords = "Inverse problems, Nilpotent groups, Ordered groups, Small doubling",

author = "Freiman, \{Gregory A.\} and Marcel Herzog and Patrizia Longobardi and Mercede Maj and Alain Plagne and Stanchescu, \{Yonutz V.\}",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2017",

month = jan,

day = "1",

doi = "10.4171/GGD/409",

language = "English",

volume = "11",

pages = "585--612",

journal = "Groups, Geometry, and Dynamics",

issn = "1661-7207",

number = "2",

}

TY - JOUR

T1 - Small doubling in ordered groups

T2 - Generators and structure

AU - Freiman, Gregory A.

AU - Herzog, Marcel

AU - Longobardi, Patrizia

AU - Maj, Mercede

AU - Plagne, Alain

AU - Stanchescu, Yonutz V.

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We prove several new results on the structure of the subgroup generated by a small doubling subset of an ordered group, abelian or not. We obtain precise results generalizing Freiman's 3k 3 and 3k 2 theorems in the integers and several further generalizations.

AB - We prove several new results on the structure of the subgroup generated by a small doubling subset of an ordered group, abelian or not. We obtain precise results generalizing Freiman's 3k 3 and 3k 2 theorems in the integers and several further generalizations.

KW - Inverse problems

KW - Nilpotent groups

KW - Ordered groups

KW - Small doubling

UR - https://www.scopus.com/pages/publications/85021666710

U2 - 10.4171/GGD/409

DO - 10.4171/GGD/409

M3 - Article

AN - SCOPUS:85021666710

SN - 1661-7207

VL - 11

SP - 585

EP - 612

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

IS - 2

ER -

Small doubling in ordered groups: Generators and structure

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation