On the structure of subsets of an orderable group with some small doubling properties

G. A. Freiman; M. Herzog; P. Longobardi; M. Maj; A. Plagne; D. J.S. Robinson; Y. V. Stanchescu

doi:10.1016/j.jalgebra.2015.07.038

On the structure of subsets of an orderable group with some small doubling properties

G. A. Freiman
, M. Herzog
, P. Longobardi
, M. Maj
, A. Plagne
, D. J.S. Robinson
, Y. V. Stanchescu

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

Résumé

The aim of this paper is to present a complete description of the structure of subsets S of an orderable group G satisfying |S²|=3|S|-2 and 〈S〉 is non-abelian.

langue originale	Anglais
Pages (de - à)	307-326
Nombre de pages	20
journal	Journal of Algebra
Volume	445
Les DOIs	https://doi.org/10.1016/j.jalgebra.2015.07.038
état	Publié - 1 janv. 2016

Accès au document

10.1016/j.jalgebra.2015.07.038

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{06518643048846939ad35ba07450d546,

title = "On the structure of subsets of an orderable group with some small doubling properties",

abstract = "The aim of this paper is to present a complete description of the structure of subsets S of an orderable group G satisfying |S2|=3|S|-2 and 〈S〉 is non-abelian.",

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

author = "Freiman, \{G. A.\} and M. Herzog and P. Longobardi and M. Maj and A. Plagne and Robinson, \{D. J.S.\} and Stanchescu, \{Y. V.\}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2016",

month = jan,

day = "1",

doi = "10.1016/j.jalgebra.2015.07.038",

language = "English",

volume = "445",

pages = "307--326",

journal = "Journal of Algebra",

issn = "0021-8693",

}

TY - JOUR

T1 - On the structure of subsets of an orderable group with some small doubling properties

AU - Freiman, G. A.

AU - Herzog, M.

AU - Longobardi, P.

AU - Maj, M.

AU - Plagne, A.

AU - Robinson, D. J.S.

AU - Stanchescu, Y. V.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - The aim of this paper is to present a complete description of the structure of subsets S of an orderable group G satisfying |S2|=3|S|-2 and 〈S〉 is non-abelian.

AB - The aim of this paper is to present a complete description of the structure of subsets S of an orderable group G satisfying |S2|=3|S|-2 and 〈S〉 is non-abelian.

KW - Inverse problems

KW - Nilpotent groups

KW - Ordered groups

KW - Small doubling

UR - https://www.scopus.com/pages/publications/84942342344

U2 - 10.1016/j.jalgebra.2015.07.038

DO - 10.1016/j.jalgebra.2015.07.038

M3 - Article

AN - SCOPUS:84942342344

SN - 0021-8693

VL - 445

SP - 307

EP - 326

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On the structure of subsets of an orderable group with some small doubling properties

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation