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

Tel Aviv University
University of Salerno
Department of Mathematics, University of Illinois at Urbana-Champaign
Afeka Academic College
The Open University of Israel

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	307-326
Number of pages	20
Journal	Journal of Algebra
Volume	445
DOIs	https://doi.org/10.1016/j.jalgebra.2015.07.038
Publication status	Published - 1 Jan 2016

Keywords

Inverse problems
Nilpotent groups
Ordered groups
Small doubling

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10.1016/j.jalgebra.2015.07.038

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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,

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

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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

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

Abstract

Keywords

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