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arXiv · 1303.3053

Inverse problems in Additive Number Theory and in Non-Abelian Group Theory

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

The aim of this paper is threefold: a) Finding new direct and inverse results in the additive number theory concerning Minkowski sums of dilates. b) Finding a connection between the above results and some direct and inverse problems in the theory of Baumslag-Solitar (non-abelian) groups. c) Solving certain inverse problems in Baumslag-Solitar groups or monoids, assuming appropriate small doubling properties.

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G. A. Freiman, M. Herzog, P. Longobardi, M. Maj, Y. V. Stanchescu. 2013-03-12. Inverse problems in Additive Number Theory and in Non-Abelian Group Theory. https://arxiv.org/abs/1303.3053

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