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

School of Mathematical Sciences

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
State	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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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.}",

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AU - Plagne, A.

AU - Robinson, D. J.S.

AU - Stanchescu, Y. V.

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

Abstract

Keywords

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