Direct and inverse problems in additive number theory and in non-abelian group theory

G. A. Freiman; M. Herzog; P. Longobardi; M. Maj; Y. V. Stanchescu

doi:10.1016/j.ejc.2014.02.001

Direct and inverse problems in additive number theory and in non-abelian group theory

G. A. Freiman, M. Herzog, P. Longobardi, M. Maj, Y. V. Stanchescu

School of Mathematical Sciences

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

Abstract

We obtain new direct and inverse results for Minkowski sums of dilates and we apply them to solve certain direct and inverse problems in Baumslag-Solitar groups, assuming appropriate small doubling properties.

Original language	English
Pages (from-to)	42-54
Number of pages	13
Journal	European Journal of Combinatorics
Volume	40
DOIs	https://doi.org/10.1016/j.ejc.2014.02.001
State	Published - Aug 2014

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title = "Direct and inverse problems in additive number theory and in non-abelian group theory",

abstract = "We obtain new direct and inverse results for Minkowski sums of dilates and we apply them to solve certain direct and inverse problems in Baumslag-Solitar groups, assuming appropriate small doubling properties.",

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AU - Freiman, G. A.

AU - Herzog, M.

AU - Longobardi, P.

AU - Maj, M.

AU - Stanchescu, Y. V.

PY - 2014/8

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N2 - We obtain new direct and inverse results for Minkowski sums of dilates and we apply them to solve certain direct and inverse problems in Baumslag-Solitar groups, assuming appropriate small doubling properties.

AB - We obtain new direct and inverse results for Minkowski sums of dilates and we apply them to solve certain direct and inverse problems in Baumslag-Solitar groups, assuming appropriate small doubling properties.

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JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

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Direct and inverse problems in additive number theory and in non-abelian group theory

Abstract

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